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CHARACTER GRAPHS WITH NONBIPARTITE HAMILTONIAN COMPLEMENT

Published online by Cambridge University Press:  25 November 2019

MAHDI EBRAHIMI
Affiliation:
School of Mathematics,Institute for Research in Fundamental Sciences (IPM), PO Box 19395-5746, Tehran, Iran email m.ebrahimi.math@ipm.ir
Corresponding
E-mail address:

Abstract

For a finite group $G$ , let $\unicode[STIX]{x1D6E5}(G)$ denote the character graph built on the set of degrees of the irreducible complex characters of $G$ . In this paper, we obtain a necessary and sufficient condition which guarantees that the complement of the character graph $\unicode[STIX]{x1D6E5}(G)$ of a finite group $G$ is a nonbipartite Hamiltonian graph.

Type
Research Article
Copyright
© 2019 Australian Mathematical Publishing Association Inc.

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Footnotes

This research was supported in part by a grant from the School of Mathematics, Institute for Research in Fundamental Sciences (IPM).

References

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