Halving complete 4-partite graphs

Dalibor Fronček, Jozef Širáň

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We completely determine the spectrum (i.e. set of orders) of complete 4-partite graphs with at most one odd part which are decomposable into two isomorphic factors with a finite diameter. For complete 4-partite graphs with all parts odd we solve the spectrum problem completely for factors with diameter 5. As regards the remaining possible finite diameters, 2,3,4, we present partial results, focusing on decompositions of Kn,n,n,m and Kn,n,m,m for odd m and n.

Original languageEnglish (US)
Pages (from-to)43-63
Number of pages21
JournalArs Combinatoria
Volume55
StatePublished - Apr 1 2000

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