Electronic Journal of Graph Theory and Applications (EJGTA)
Vol 11, No 1 (2023): Electronic Journal of Graph Theory and Applications

On decompositions of complete graphs into unicyclic disconnected bipartite graphs on nine edges

Alan Bonhert (University of Minnesota Duluth)
Luke Branson (University of Minnesota Duluth)
Patrick Joseph Otto (University of Minnesota Duluth)

Article Info

Publish Date
08 Apr 2023

Abstract

We use Rosa-type labelings to decompose complete graphs into unicyclic, disconnected, bipartite graphs on nine edges – namely, those featuring cyclic component C4, C6, or C8. For any such graph H, we prove there exists an H-design of K18k + 1 and K18k for all positive integers k.

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Journal Info
Electronic Journal of Graph Theory and Applications (EJGTA)
Website

Abbrev

ejgta

Publisher

Indonesian Combinatorial Society

Subject

Electrical & Electronics Engineering

Description

The Electronic Journal of Graph Theory and Applications (EJGTA) is a refereed journal devoted to all areas of modern graph theory together with applications to other fields of mathematics, computer science and other sciences. The journal is published by the Indonesian Combinatorial Society ...