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Australian mathematician
Gordon F. Royle is a professor at the School of Mathematics and Statistics at The University of Western Australia. Royle is the co-author (with Chris Godsil)
Gordon_Royle
Surname list
Milton Royle (1862–1942), American playwright Gordon Royle, Australian mathematician and professor Guy Royle (1885–1954), Royal Navy admiral, Fifth Sea Lord
Royle
Concept in graph theory
Graphs. p. 101 Archived 2012-03-16 at the Wayback Machine Godsil, Chris; Royle, Gordon. Algebraic Graph Theory. Springer-Verlag New York, 2001, p. 218. https://projecteuclid
Strongly_regular_graph
Mathematics of number-placement puzzle
Taalman (2007) writes that Gordon Royle has a collection of more than 36,000 distinct 17-clue Sudokus, for which see Royle, Gordon. "Minimum Sudoku". University
Mathematics_of_Sudoku
Australian airman
Flight Lieutenant Paul Gordon Royle (17 January 1914 – 23 August 2015) was an Australian Royal Air Force pilot who was one of the last two survivors of
Paul_Royle
Unproven conjecture in graph theory
having no power-of-two cycles. It is known through computer searches of Gordon Royle and Klas Markström that any counterexample must have at least 17 vertices
Erdős–Gyárfás_conjecture
Theorem in linear algebra
Mathematical Sciences, 1994, SIAM. ISBN 0-89871-321-8. Chris Godsil and Gordon Royle, Algebraic Graph Theory, Springer, 2001. A. Graham, Nonnegative Matrices
Perron–Frobenius_theorem
textbook on algebraic graph theory, entitled Algebraic Graph Theory, with Gordon Royle, His earlier textbook on algebraic combinatorics discussed distance-regular
Chris_Godsil
Methodic assignment of colors to elements of a graph
Polynomials Archived 2008-04-16 at the Wayback Machine by Gary Haggard, David J. Pearce and Gordon Royle A graph coloring Web App by Jose Antonio Martin H.
Graph_coloring
Graph where all pairs of vertices are automorphic
conjecture Semi-symmetric graph Zero-symmetric graph Godsil, Chris; Royle, Gordon (2013) [2001], Algebraic Graph Theory, Graduate Texts in Mathematics
Vertex-transitive_graph
Rota Klaus Roth Tim Roughgarden Bimal Kumar Roy Marie-Françoise Roy Gordon Royle Grzegorz Rozenberg Jean E. Rubin Ronitt Rubinfeld Ariel Rubinstein J
List of people by Erdős number
List_of_people_by_Erdős_number
Series of mathematics textbooks
2nd ed., ISBN 978-0-387-95143-0) Algebraic Graph Theory, Chris Godsil, Gordon Royle (2001, ISBN 978-0-387-95241-3) Analysis for Applied Mathematics, Ward
Graduate_Texts_in_Mathematics
Function in algebraic graph theory
MathWorld Chromatic polynomial at PlanetMath. Code for computing Tutte, Chromatic and Flow Polynomials by Gary Haggard, David J. Pearce and Gordon Royle: [1]
Chromatic_polynomial
Algebraic encoding of graph connectivity
536F, doi:10.1016/0031-8914(72)90045-6, ISSN 0031-8914. Godsil, Chris; Royle, Gordon (2004), Algebraic Graph Theory, Springer, ISBN 978-0-387-95220-8. Goldberg
Tutte_polynomial
Mathematical classification
E. E. Line graphs, root systems and elliptic geometry Godsil Chris; Gordon Royle. Algebraic Graph Theory, Chapter 12 Fedorets A. A., et al. Symmetry of
ADE_classification
Academic journal
States Alexey Pokrovskiy, University College London, United Kingdom Gordon Royle, University of Western Australia, Australia Bruce Sagan, Michigan State
Electronic Journal of Combinatorics
Electronic_Journal_of_Combinatorics
Graph in which all ordered pairs of linked nodes are automorphic
Cambridge University Press. pp. 118–140. ISBN 0-521-45897-8. Godsil, Chris; Royle, Gordon (2001). Algebraic Graph Theory. New York: Springer. p. 59. ISBN 0-387-95220-9
Symmetric_graph
English actor (born 1939)
Brookside (1982–1988), DCI Charlie Wise in Cracker (1993–2006) and Jim Royle in The Royle Family (1998–2012). He also played the titular character in the football
Ricky_Tomlinson
British wars 1639–1640 concerning religion in Scotland
56–57. Royle 2006, p. 94. Pearce 2015, pp. 145–147. Harris 2014, p. 380. Royle 2006, pp. 107–108. Royle 2006, p. 110. Royle 2006, p. 109. Royle 2006, p
Bishops'_Wars
Ph.D. Physics 1964, crystallographer, inventor of the Rietveld Method Gordon Royle, Ph.D. Mathematics 1987, co-author of Algebraic Graph Theory Dorothea
List of University of Western Australia people
List_of_University_of_Western_Australia_people
Distance-Regular Graphs, Springer-Verlag, Berlin. Chris Godsil and Gordon Royle (2001), Algebraic Graph Theory, Graduate Texts in Math., Vol. 207, Springer-Verlag
Equitable_partition
British television presenter and journalist (born 1958)
Pamela June Royle (born 30 June 1958) is a British television journalist and presenter. Royle was born in Leicester, Leicestershire and was brought up
Pam_Royle
Military unit in the British Army
Trevor Royle, The Gordon Highlanders, A Concise History. Mainstream Publishing Company (2007). ISBN 9781845962708. Media related to Gordon Highlanders
Gordon_Highlanders
English actor (1944–2012)
sitcom Keeping Up Appearances (1990–1995) and "Twiggy" in the sitcom The Royle Family, playing the part from 1998 to 2008. From 2001 to 2005 he played
Geoffrey_Hughes_(actor)
British diplomat
Catherine Jane Royle de Camprubi (born 1963) is a British diplomat who served as British Ambassador to Venezuela from 2007 to 2010. She was political
Catherine_Royle
English actress (born 1980)
2010, Froggatt appeared in the Royle Family Christmas special, "Joe's Crackers", as Saskia, the girlfriend of Antony Royle. Despite having been mentioned
Joanne_Froggatt
1940 US film serial directed by Ford Beebe and Ray Taylor
Gwynne as Lady Sonja John Hamilton as Professor Gordon Edgar Edwards as Captain Turan William Royle as Captain Sudan Sigurd Nilssen as Count Korro Luli
Flash Gordon Conquers the Universe
Flash_Gordon_Conquers_the_Universe
English footballer
George Telfer, Derek Temple, Tommy Wright and former player and manager Joe Royle, along with former chairman Sir Philip Carter, who paid tribute at the service
Gordon_West
Football club in Greater Manchester, England
in 1973–74. Frizzell was succeeded by another successful manager in Joe Royle, who was also in charge for 12 years. During his spell as manager, Oldham
Oldham_Athletic_A.F.C.
Atheistic periodical
Royle 1976, p.42, 54; Royle 1974, p.80. Royle 1974, p.81. Holyoake's last issue was 27 August 1842 (Royle 1974, p.321) Royle 1976, p.55-57. Royle 1974
The_Oracle_of_Reason
Group of islands in the South Atlantic
Royle 2001, p. 170. "Agriculture". Falkland Islands Government. Archived from the original on 15 February 2016. Retrieved 13 February 2016. Royle 2001
Falkland_Islands
American actor
actress Selena Royle. He starred opposite Tallulah Bankhead in the Broadway production of Dark Victory in 1934. In 1935, Larimore and Royle formed the University
Earle_Larimore
British politician and life peer (born 1955)
University of Oxford Chancellor election. She was succeeded by Catherine Royle in October 2025. She is the current Chair of the Association of Leading
Janet Royall, Baroness Royall of Blaisdon
Janet_Royall,_Baroness_Royall_of_Blaisdon
American sports writer and radio personality (born 1968)
during Super Bowl week. On March 30, 2011, it was reported that Jennifer Royle, a Baltimore sports reporter for WJZ-FM (105.7) filed a $800,000 defamation
Nestor_Aparicio
publican Eddie Royle (Michael Melia). The character was written out in 1993 and was given a happy ending. Etta Tavernier, played by Jacqui Gordon-Lawrence,
List of EastEnders characters introduced in 1990
List_of_EastEnders_characters_introduced_in_1990
Australian Paralympic cyclist
Gordon Allan (born 3 April 1998) is an Australian Paralympic cyclist who won medals at World Para Track Championships. He competed at the 2020 Tokyo Paralympics
Gordon_Allan
British sprinter
Captain Sir Lancelot Carrington Royle, KBE (31 May 1898 – 19 June 1978) was a British Olympian and businessman. Royle was an Olympic athlete (Paris 1924)
Lancelot_Royle
only character to be introduced in March. April saw Robbie Roscoe, Trevor Royle and Vincent Elegba arrive. The following month Robbie was joined by the
List of Hollyoaks characters introduced in 2013
List_of_Hollyoaks_characters_introduced_in_2013
Biography of Alistair Urquhart
Grylls told of his favourite books: The Forgotten Highlander was included. Royle, Trevor (2010-03-14). "The Forgotten Highlander by Alistair Urquhart". The
The_Forgotten_Highlander
major competitions in its history. Joe Royle is the longest serving in Oldham's history, managing 608 games. Royle was manager of the club between 1982
List of Oldham Athletic A.F.C. managers
List_of_Oldham_Athletic_A.F.C._managers
British television soap opera characters
Jenkins (James Fletcher) – the estranged son of established character Trevor Royle (Greg Wood), who made his first appearance in early January. Shortly following
List of Hollyoaks characters introduced in 2015
List_of_Hollyoaks_characters_introduced_in_2015
Military unit in the British Army
p 21. "Highlanders (Seaforth, Gordons and Camerons)". British Army units 1945 on. Retrieved 25 May 2014. Trevor Royle. Queen's Own Highlanders: A Concise
Queen's Own Highlanders (Seaforth and Camerons)
Queen's_Own_Highlanders_(Seaforth_and_Camerons)
Phantom islands in the South Atlantic
Narrative of Arthur Gordon Pym of Nantucket, Pym and his crewmates search for but fail to find them. Shag Rocks Pepys Island Stephen A. Royle (19 March 2001)
Aurora_Islands
American business executive (born 1968)
Archived from the original on December 13, 2024. Retrieved August 27, 2025. Royle, Orianna Rosa (October 26, 2023). "Who is Morgan Stanley's new CEO Ted Pick
Ted_Pick
English footballer
returned to Everton once his playing career had come to an end under Joe Royle who appointed him as youth team coach. He also had a spell in charge of
Ronny_Goodlass
Species of conifer
2013-1.RLTS.T42372A2975925.en. Retrieved 19 November 2021. Pinus kesiya Royle ex Gordon. Plants of the World Online. Retrieved 12 August 2024. Luu, Nguyen
Pinus_kesiya
Genus of coniferous trees
van Tieghem A. squamata Masters A. beshanzuensis Wu A. pindrow (Royle ex Don) Royle A. recurvata Masters A. fargesii Franchet Squamatae series A. koreana
Fir
Football match
goal was scored early in the match. Newcastle's Glenn Keeley fouled Joe Royle in the middle of the Newcastle half. The resulting free-kick was hoisted
1976 Football League Cup final
1976_Football_League_Cup_final
American television series
2017 (2017-01-11) Giada De Laurentiis, Alex Guarnaschelli parsnip Melissa Mayer, Jen Royle Jason DeBriere, Sara Gore, Ken Oringer chicken flautas Bobby Flay 123 3
Beat_Bobby_Flay
British regional television news programme (since 1959)
Northern Life aired with notable presenters including Paul Frost and Pam Royle. On 5 October 1992 this was replaced by Tyne Tees Today (and from 31 March
ITV_News_Tyne_Tees
British television medical drama series
student nurses working in a London hospital, starred Jessica Hynes, Amanda Royle and Susannah Wise in the title roles, alongside Paul Higgins, Sophie Okonedo
Staying_Alive_(TV_series)
Australian bus operator
Forest Coach Lines brand phased out. In March 1930, Eric and Trevor Royle trading as Royle Brothers, purchased routes 56 Chatswood station to Roseville Chase
Forest_Coach_Lines
1946 film by Victor Saville
as Grandma Leckie Dean Stockwell as Robert Shannon (as a child) Selena Royle as Mama Leckie Jessica Tandy as Kate Leckie Richard Haydn as Jason Reid
The_Green_Years_(film)
British diplomat
Catherine Royle Succeeded by John Saville British Ambassador to Peru In office 2006–2010 Monarch Elizabeth II Prime Minister Tony Blair Gordon Brown Preceded
Catherine_Nettleton
British people who perform comedy
(born 1964), Still Standing, Trollied Caroline Aherne (1963–2016), The Royle Family Emily Atack (born 1989), The Inbetweeners Rowan Atkinson (born 1955)
List_of_British_comedians
Australian triathlete
Aaron Royle (born 26 January 1990) is an Australian professional triathlete who has made significant accomplishments in the sport of triathlon. Royle has
Aaron_Royle
a brief spell in Europe and Burley was replaced by Joe Royle. After nearly four seasons, Royle left the club and in June 2006, Sheepshanks appointed former
List of Ipswich Town F.C. managers
List_of_Ipswich_Town_F.C._managers
Town in the West Midlands, England
Sons Entertainment Kenton Allen, television producer and executive (The Royle Family, Six Shooter), attended King Edward VI College Peter Powell, former
Stourbridge
Species of evergreen tree
(Wall.) Boiss. Synonyms Abies khutrow (Royle ex Turra) Loudon Abies smithiana (Wall.) Lindl. Picea khutrow (Royle ex Turra) Carrière Picea morinda Link
Picea_smithiana
to Clarify". seastwood.com. Archived from the original on May 21, 2012. Royle, Alan (October 5, 2016). "Did you know?". filmstarfacts.com. Stiny, Andy
Personal life of Clint Eastwood
Personal_life_of_Clint_Eastwood
British soldier (1853–1903)
XII. October 1903. p. 10. Retrieved 19 October 2023 – via Google Books. Royle, Trevor (2003). Fighting Mac: The Downfall of Major General Sir Hector MacDonald
Hector_MacDonald
Former naval fleet of the Royal Navy
Colin Mackie. Smith, Gordon. (2015) "Royal Navy ship dispositions 1914–1918". www.naval-history.net. Gordon Smith. Trevor, Royle. (2007). The flowers
Battle_Cruiser_Fleet
Graph operation
289–294, doi:10.1016/0020-0190(95)00035-B, MR 1336013. Jensen, Tommy R.; Royle, Gordon F. (1999), "Hajós constructions of critical graphs", Journal of Graph
Hajós_construction
Bulgaria-born American entrepreneur
Hunter College. May 15, 2019. Retrieved March 23, 2022. Roberts, Jeff John; Royle, Oriana Rose (July 30, 2024). "The education of Robinhood's Vlad Tenev"
Vlad_Tenev
Giselle) Sarah Woodward (as Jane Grey) Shaun Scott (as Norman Gale) Amanda Royle (as Venetia Kerr) George Rossi (as Mr Zeropoulos) Yves Aubert (as Airline
List of Agatha Christie's Poirot episodes
List_of_Agatha_Christie's_Poirot_episodes
Parliamentarian group in UK supporting closer ties with Israel
November 2024. Retrieved 27 November 2024. Bartlett, David (5 February 2010). "Royle Family star Ricky Tomlinson could run for parliament in Liverpool". Liverpool
Labour_Friends_of_Israel
American actress and author (1927–2004)
MGM, Shearer was able to facilitate screen tests for Leigh with Selena Royle, after which Wasserman negotiated a contract for her, despite her having
Janet_Leigh
English atheist, secularist writer, and lecturer (1868–1954)
presented with his characteristic panache and humour. According to Edward Royle (2004), "as an organizer Cohen did much to build up the resources of secularism
Chapman_Cohen
such homomorphism exists) (Hell & Nešetřil 1992). Godsil, Chris, and Royle, Gordon. Algebraic Graph Theory. Graduate Texts in Mathematics, Vol. 207. Springer-Verlag
Core_(graph_theory)
Attempt by the House of Stuart to regain the British throne
Riding 2016, p. 378. Jacobite stories: Battle. Gold & Gold 2007, pp. 11–12. Royle 2016, p. 87. Battle of Culloden. Riding 2016, p. 427. Pittock 2016, pp. 58–98
Jacobite_rising_of_1745
1977 opera by Thea Musgrave
takes some liberties with the actual historical facts. The character Lord Gordon is fictitious although partly based on Lord Huntly. The real Earl of Moray
Mary,_Queen_of_Scots_(opera)
Military unit
the original on 13 July 2006. Retrieved 12 February 2017. Royle, Trevor (2007). The Gordon Highlanders: A Concise History. Mainstream. ISBN 978-1845962708
75th (Stirlingshire) Regiment of Foot
75th_(Stirlingshire)_Regiment_of_Foot
English serial killer (1946–2020)
age sixteen in early 1973. Shortly thereafter, a young chef named Alan Royle had observed her wandering aimlessly around Manchester Piccadilly station
Peter_Sutcliffe
English family
1829. Other branches of the family were based at Hurstwood near Towneley, Royle on the opposite side of Burnley, and later Littleton in Surrey, Dutton close
Towneley_family
British athlete and journalist
Richard Ripley Lancelot Royle Frank Saunders William Seagrove Arthur Sewell Sonny Spencer Ralph Starr Wilfrid Tatham Edward Toms Gordon Watts George Webber
Evelyn_Montague
British television situation comedy
entirely on location, with no studio screening or laugh track, such as The Royle Family (1998–2000, 2006–2012), and PhoneShop (2009–2013). A subset of British
British_sitcom
Logic-based number-placement puzzle
23 (2): 190–217. arXiv:1201.0749. doi:10.1080/10586458.2013.870056. Royle, Gordon. "Minimum Sudoku". Archived from the original on 2006-11-26. Retrieved
Sudoku
following cast members: Gordon Jackson (George Cowley), Martin Shaw (Ray Doyle) and Lewis Collins (William Bodie). Since the deaths of Gordon Jackson and Lewis
List of The Professionals episodes
List_of_The_Professionals_episodes
Scottish novelist and screenwriter (1928–1968)
Kennaway, The Kennaway Papers (Jonathan Cape) 1981 ISBN 0-224-01865-5 Trevor Royle, James & Jim, A Biography of James Kennaway (Mainstream Publishing) 1983
James_Kennaway
Scottish athlete and missionary (1902–1945)
Richard Ripley Lancelot Royle Frank Saunders William Seagrove Arthur Sewell Sonny Spencer Ralph Starr Wilfrid Tatham Edward Toms Gordon Watts George Webber
Eric_Liddell
Australian Paralympic swimmer and musician (born 2001)
Littlehales Susan Seipel Paratriathlon Nic Beveridge Sam Harding Aaron Royle Tom Goodman Justin Godfrey Jeremy Peacock Liam Twomey David Bryant Jack
Alexa_Leary
English actress (born 1942)
1990 as Yvonne Pendlebury. She also appeared in a one-off special of The Royle Family which aired in December 2012, playing the role of Philomena. Healey
Mary_Healey
1950 film by Norman Krasna
Mahoney Selena Royle as Kate Mahoney Gene Lockhart as Charles Parkford Rosemary DeCamp as Claire Bellcap Philip Ahn as Dr. Lee Gordon Richards as Williams
The_Big_Hangover
British athlete
Douglas Gordon Arthur Lowe (7 August 1902 – 30 March 1981) was a British double Olympic Games champion, winning gold medals in 1924 and 1928. On both occasions
Douglas_Lowe_(athlete)
English footballer and coach
Thomas Gordon Watson (1 March 1914 – 29 April 2001) was an English football player and coach. Born in Wolsingham, Watson began his career with Blyth Spartans
Gordon Watson (footballer, born 1914)
Gordon_Watson_(footballer,_born_1914)
Regular graph with fewest possible nodes for its girth
43..459T, doi:10.1017/S0305004100023720. Brouwer, Andries E. Cages Royle, Gordon. Cubic Cages and Higher valency cages Weisstein, Eric W. "Cage Graph"
Cage_(graph_theory)
Welsh footballer and manager (born 1945)
loan, a gamble which ultimately paid off after Walker's departure with Joe Royle signing the Scot on a permanent basis. These players all played a key role
Mike Walker (Welsh footballer)
Mike_Walker_(Welsh_footballer)
Species of flowering plant with edible fruits
"Distribution and genetic diversity of Cucumis sativus var. hardwickii (Royle) Alef in India". The Journal of Horticultural Science and Biotechnology
Cucumber
Series of civil wars in England (1455–1487)
1985. Lambert, David; Gray, Randal (1991). Kings and Queens. Collins Gem. Royle 2009, pp. 160–161. Goodwin 2012, p. 20. Cousinot, Guillaume (1864). Chronique
Wars_of_the_Roses
British racewalker
Hubert Gordon Amos Watts (8 December 1893 – March 1986) was a British racewalker, who competed at the Olympic Games. Watts became the national 7 miles
Gordon_Watts
British television sitcom (2007–2024)
"audience-pleasing family sitcom in the tradition of Only Fools and Horses and The Royle Family – churning out series after series and Christmas special after Christmas
Gavin_&_Stacey
British racewalker (1895–1984)
Gordon Reginald Goodwin (17 December 1895 – February 1984) was a British athlete who competed mainly in the 10 kilometre walk. He competed for Great Britain
Gordon_Goodwin_(athlete)
Great Britain Harold Abrahams Walter Rangeley Wilfred Nichol Lancelot Royle Netherlands Jan de Vries Jaap Boot Harry Broos Rinus van den Berge 1928
List of Olympic medalists in athletics (men)
List_of_Olympic_medalists_in_athletics_(men)
was the first player to score from a penalty kick, while Everton's Joe Royle was the first to miss. Everton went on to win 4–3 with Sandy Brown scoring
European Cup and UEFA Champions League records and statistics
European_Cup_and_UEFA_Champions_League_records_and_statistics
Fabian Nicieza, Klaus Janson Cable #3 Die-Cut 1993-08 Glenn Dakin, John Royle Death's Head II & the Origin of Die-Cut #1 Slayback 1993-08 Fabian Nicieza
List of Marvel Comics first appearances
List_of_Marvel_Comics_first_appearances
List of managers of Everton FC
without such success. Former Everton player and Oldham Athletic manager Joe Royle was appointed in 1994 following the disastrous reign of Mike Walker (1994
List_of_Everton_F.C._managers
American actress (1917–2004)
Kane 1947 Unconquered Diana Cecil B. DeMille 1948 Glamour Girl Lorraine Royle Arthur Dreifuss 1948 Who Killed Doc Robbin Ann Loring Bernard Carr 1948
Virginia_Grey
Several genera of evergreen conifers
Hickel C. gigantea Cheng & Fu C. torulosa Don ex Lambert C. cashmeriana Royle ex Carrière C. austrotibetica Silba C. corneyana Knight & Perry ex Carrière
Cupressus
Annual event held in Gloucestershire, England
Preece (1) Star Royles 1993 Rob Preece (2) Rob Preece (3) Jamie Barnes Andrew Deveson (1) 1994 Rob Preece (4) Andrew Deveson (2) Star Royles Craig Carter
Cooper's Hill Cheese-Rolling and Wake
Cooper's_Hill_Cheese-Rolling_and_Wake
British racewalker
Richard Ripley Lancelot Royle Frank Saunders William Seagrove Arthur Sewell Sonny Spencer Ralph Starr Wilfrid Tatham Edward Toms Gordon Watts George Webber
Ernest_Clark_(athlete)
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