6pq阶和7pq阶的Cayley图是哈密顿图

Art Discret. Appl. Math. Pub Date : 2021-06-14 DOI:10.26493/2590-9770.1389.fa2

Farzad Maghsoudi

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引用次数: 4

摘要

设G是一个有限群，使得|G| = 6pq或7pq，其中p和q是不同的素数，设S是G的一个生成集，证明了对应的Cayley图Cay(G;S)中存在一个哈密顿循环。

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Cayley graphs of order 6pq and 7pq are Hamiltonian

Assume G is a finite group, such that |G| = 6pq or 7pq, where p and q are distinct prime numbers, and let S be a generating set of G. We prove there is a Hamiltonian cycle in the corresponding Cayley graph Cay(G;S).

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Art Discret. Appl. Math.

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