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Join us today » Research News Events Deadlines From Notices of the AMS On Hamilton Cycles in Graphs Defined by Intersecting Set Systems by Torsten Mütze Communicated by Emilie Purvine Introduction In 1857 the Irish mathematician William Rowan Hamilton invented a puzzle whose goal is to find a cycle in the graph of the dodecahedron that visits every vertex exactly once. He dubbed it the ’Icosian game,’ as the resulting cycle has exactly twenty (’icosa’ in ancient Greek) edges and vertices. In honor of Hamilton, a cycle that visits every vertex of a graph exactly once is now called a Hamilton cycle . The dodecahedron has the interesting property that it looks the same from the point of view of any vertex. Formally, it is vertex-transitive , i.e., any two vertices can be mapped onto each other by an automorphism of the graph. In 1970 Lovász raised a conjecture which can be considered a highly advanced version of the Icosian game. Specifically, he conjectured that every connected vertex-transitive graph admits a Hamilton cycle, apart from five exceptional graphs, which are a single edge? Read more» Also in Notices A feeling for Khovanov homology Differential Equations for Continuous-Time Deep Learning More from Notices» News from the AMS More News » Feature Stories More Feature Stories » 4 May Event title and link Event description2024 14 May GAANN Program Webinar Virtual meeting at 4-5 pm ET 23-26 Jul Joint International Meeting with the Unione Matematica Italiana Università degli Studi di Palermo, Palermo, Italy 14-15 Sep Fall Central Sectional Meeting University of Texas, San Antonio, TX 5-6 Oct Fall Southeastern Sectional Meeting Georgia Southern University, Savannah, GA 19-20 Oct Fall Eastern Sectional Meeting University at Albany, Albany, NY 26-27 Oct Fall Western Sectional Meeting University of California, Riverside, CA 9-13 Dec Joint International Meeting of the AMS, NZMS, and AustMS Joint meeting of New Zealand, Australian and American Mathematical Societies. University of Auckland, Auckland, New Zealand 2025 8-11 Jan Joint Mathematics Meetings January 8-11, 2025. Seattle, WA. DATE MONTH Event title and link Event description2024 31 May AMS Prizes and Awards - Nominations Conant, Dolciani, Foias, Isaacs, Moore, Morgan, Robbins, Satter, Stein, Veblen, Wiener, Exemplary Program, Impact on Teaching and Learning, Mathematics Programs that Make a Difference 30 Jun Ivo and Renata Babuška Thesis Prize - Nominations 23 Jul 2024 Fall Central Sectional - Abstract Submissions Deadline Sep 14-15, University of Texas, San Antonio 23 Jul 2024 Fall Central Sectional - Child Care Grants Sep 14-15, University of Texas, San Antonio 13 Aug 2024 Fall Southeastern Sectional - Abstract Submissions Oct 5-6, Georgia Southern University, Savannah, GA 13 Aug 2024 Fall Southeastern Sectional - Child Care Grants Oct 5-6, Georgia Southern University, Savannah, GA 27 Aug 2024 Fall...