CI-property of C2p x Cn and C2p x C2q for digraphs

被引：0

作者：

Kovacs, Istvan ^{[1
,2
]}

Muzychuk, Mikhail ^{[3
]}

Palfy, Peter P. ^{[4
]}

Ryabov, Grigory ^{[5
,6
]}

Somlai, Gabor ^{[7
]}

机构：

[1] Univ Primorska, UP IAM, Muzejski Trg 2, SI-6000 Koper, Slovenia

[2] Univ Primorska, UP FAMNIT, Glagoljaska Ulica 8, SI-6000 Koper, Slovenia

[3] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

[4] Alfred Renyi Inst Math, Realtanoda Utca 13-15, H-1053 Budapest, Hungary

[5] Sobolev Inst Math, Acad Koptyug Ave 4, Novosibirsk 630090, Russia

[6] Novosibirsk State Tech Univ, K Marksa Ave 20, Novosibirsk 630073, Russia

[7] Eotvos Lorand Univ, Dept Algebra & Number Theory, Pazmany Peter Setany 1-C, H-1117 Budapest, Hungary

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2023年 / 196卷

关键词：

Cayley graph; CI-property; Schur ring; ELEMENTARY ABELIAN-GROUP; ISOMORPHISM-PROBLEM; ADAMS CONJECTURE; SCHUR RINGS; RANK;

D O I：

10.1016/j.jcta.2023.105738

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the direct product of two coprime order elementary abelian groups of rank two, as well as the direct product of a cyclic group of prime order and a cyclic group of square-free order are DCI-groups. The latter is a generalization of Muzychuk's result on cyclic groups (J. Combin. Theory Ser. A, 1995).(c) 2023 Elsevier Inc. All rights reserved.

引用

页数：29

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