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Tournament (graph theory)
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== References == *{{citation|last1=Austen-Smith|first1=D.|first2=J.|last2=Banks|title=Positive Political theory|year=1999|publisher=University of Michigan Press}} *{{citation | last1 = Bang-Jensen | first1 = J. | last2 = Gutin | first2 = G. | author2-link = Gregory Gutin | last3 = Yeo | first3 = A. | journal = Combinatorics, Probability and Computing | pages = 255–261 | title = Hamiltonian Cycles Avoiding Prescribed Arcs in Tournaments | volume = 6 | year = 1997| issue = 3 | doi = 10.1017/S0963548397003027 }} *{{citation|doi=10.1137/0403002|first1=A.|last1=Bar-Noy|first2=J.|last2=Naor|author2-link=Joseph Seffi Naor|title=Sorting, Minimal Feedback Sets and Hamilton Paths in Tournaments|journal=[[SIAM Journal on Discrete Mathematics]]|volume=3|issue=1|pages=7–20|year=1990}} *{{citation|last1=Brandt|first1=Felix|last2=Brill|first2=Markus|last3=Harrenstein|first3=Paul|contribution=Chapter 3: Tournament Solutions|title=Handbook of Computational Social Choice |editor1-last=Brandt|editor1-first=Felix|editor2-last=Conitzer|editor2-first=Vincent|editor3-last=Endriss|editor3-first=Ulle|editor4-last=Lang|editor4-first=Jérôme|editor5-last=Procaccia|editor5-first=Ariel D.|publisher=Cambridge University Press|year=2016|isbn=9781107060432}} * {{Citation | first=Paul | last=Camion | title=Chemins et circuits hamiltoniens des graphes complets | journal=[[Comptes Rendus de l'Académie des Sciences de Paris]] | url = https://gallica.bnf.fr/ark:/12148/bpt6k731d/f1025.item | language = French | volume=249 | year=1959 | pages=2151–2152 }} *{{citation | last = Erdős | first = P. | author1-link = Paul Erdős | journal = [[The Mathematical Gazette]] | jstor = 3613396 | mr = 0159319 | pages = 220–223 | title = On a problem in graph theory | url = http://www.renyi.hu/~p_erdos/1963-08.pdf | volume = 47 | year = 1963| issue = 361 | doi = 10.2307/3613396 }} *{{citation | last1 = Erdős | first1 = P. | author1-link = Paul Erdős | last2 = Moser | first2 = L. | author2-link = Leo Moser | journal = Magyar Tud. 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H. | author2-link = Joel Spencer | journal = [[Canadian Mathematical Bulletin]] | mr = 0292715 | pages = 45–48 | title = A constructive solution to a tournament problem | volume = 14 | year = 1971 | doi=10.4153/cmb-1971-007-1}}. *{{citation | last1 = Harary | first1 = Frank | author1-link = Frank Harary | last2 = Moser | first2 = Leo | author2-link = Leo Moser | doi = 10.2307/2315334 | issue = 3 | journal = [[American Mathematical Monthly]] | pages = 231–246 | title = The theory of round robin tournaments | volume = 73 | year = 1966 | jstor = 2315334}}. *{{citation | last = Havet | first = Frédéric | contribution = Section 3.1: Gallai–Roy Theorem and related results | contribution-url = https://oc.g-scop.grenoble-inp.fr/conf/sgt2013/oleron.pdf | pages = 15–19 | series = Lecture notes for the summer school SGT 2013 in Oléron, France | title = Orientations and colouring of graphs | year = 2013}} * {{Citation | first=H.G. | last=Landau | title=On dominance relations and the structure of animal societies. III. The condition for a score structure | journal=[[Bulletin of Mathematical Biophysics]] | volume=15 | issue=2 | pages=143–148 | year=1953 | doi=10.1007/BF02476378}}. *{{citation | last = Laslier | first = J.-F. | title = Tournament Solutions and Majority Voting | publisher = Springer | year = 1997}} *{{citation|last=McGarvey|first=David C.|year=1953|title=A Theorem on the Construction of Voting Paradoxes|jstor=1907926|journal=Econometrica|volume=21|issue=4|pages=608–610|doi=10.2307/1907926}} *{{citation | doi = 10.4153/CMB-1966-038-7 | last = Moon | first = J. W. | issue = 3 | journal = [[Canadian Mathematical Bulletin]] | pages = 297–301 | title = On subtournaments of a tournament | url = http://cms.math.ca/cmb/v9/p297 | volume = 9 | year = 1966| doi-access = free }}. * {{Citation | first=László | last=Rédei | authorlink = László Rédei | title=Ein kombinatorischer Satz | journal=Acta Litteraria Szeged | volume=7 | year=1934 | pages=39–43 }}. * {{Citation | first1=K.B. | last1=Reid |first2=E.T. | last2=Parker | title=Disproof of a conjecture of Erdös and Moser | journal=[[Journal of Combinatorial Theory]] | volume=9 | issue=3 | doi=10.1016/S0021-9800(70)80061-8 | year=1970 | pages=225–238 | doi-access=free }} *{{citation|last=Stearns|first=Richard|year=1959|title=The Voting Problem|jstor=2310461|journal=The American Mathematical Monthly|volume=66|issue=9|pages=761–763|doi=10.2307/2310461}} *{{citation | last1 = Szekeres | first1 = E. | author1-link = Esther Szekeres | last2 = Szekeres | first2 = G. | author2-link = George Szekeres | journal = [[The Mathematical Gazette]] | mr = 0186566 | pages = 290–293 | title = On a problem of Schütte and Erdős | volume = 49 | year = 1965 | issue = 369 | doi=10.2307/3612854| jstor = 3612854 }}. *{{Citation | title=A Bernoulli Excursion and Its Various Applications | journal=Advances in Applied Probability | year=1991|volume=23 | issue=3 | pages= 557–585 | doi=10.2307/1427622 | publisher=Applied Probability Trust | last=Takács | first=Lajos | authorlink = Lajos Takács | jstor=1427622}}. * {{Citation | first1=Carsten | last1=Thomassen | authorlink = Carsten Thomassen (mathematician) | year=1980 | title=Hamiltonian-Connected Tournaments | journal=[[Journal of Combinatorial Theory]] | series = Series B | volume=28 | issue=2 | pages=142–163 | doi=10.1016/0095-8956(80)90061-1 | doi-access=free }}. * {{Citation | first=T.X. | last=Yao | year=1989 | title=On Reid conjecture of score sets for tournaments | journal=Chinese Sci. Bull. | volume=34 | pages=804–808 }}. {{PlanetMath attribution|id=3518|title=tournament}} {{Authority control}} {{DEFAULTSORT:Tournament (Graph Theory)}} [[Category:Directed graphs]]
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