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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Gai, Yujia
Department of Mathematics, Hebei University of Technology, China
Electrical & Electronics Engineering

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The Alon-Tarsi number of cupolarotundas and gyroelongated rotunda Li, Zhiguo; Gai, Yujia; Shao, Zeling
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 12, No 2 (2024): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2024.12.2.5

Abstract

The Alon-Tarsi number of a graph G is the smallest k so that there exists an orientation D of G with max outdegree k - 1 satisfying the number of even Eulerian subgraphs different from the number of odd Eulerian subgraphs. This paper is devoted to the study of the Alon-Tarsi number of cupolarotundas and gyroelongated rotunda.
Co-Authors Li, Zhiguo Shao, Zeling