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Note on Odd/Odd Vertex Removal Games on Bipartite Graphs
Stockholm University, Faculty of Science, Department of Mathematics.
2014 (English)In: Integers: Electronic Journal of Combinatorial Number Theory, ISSN 1553-1732, E-ISSN 1553-1732, Vol. 14, 1-4 p.Article in journal (Refereed) Published
Abstract [en]

We analyze the Odd/odd vertex removal game introduced by P. Ottaway. We prove that every bipartite graph has Grundy value 0 or 1 only depending on the parity of the number of edges in the graph, which is a generalization of a conjecture of K. Shelton.

Place, publisher, year, edition, pages
2014. Vol. 14, 1-4 p.
Keyword [en]
vertex removal games, combinatorics, combinatorial game theory, graphs, bipartite graphs, Grundy value
National Category
Discrete Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-111216OAI: oai:DiVA.org:su-111216DiVA: diva2:774859
Available from: 2014-12-29 Created: 2014-12-29 Last updated: 2017-12-05Bibliographically approved

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