Dalibor Froncek
Department of Mathematics and Statistics, University of Minnesota Duluth, Duluth, MN 55812, U.S.A.

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Decomposition of complete graphs into connected bipartite unicyclic graphs with eight edges John Fahnenstiel; Dalibor Froncek
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 7, No 2 (2019): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2019.7.2.4

Abstract

We prove that each of the 34 non-isomorphic connected unicyclic bipartite graphs with eight edges decomposes the complete graph Kn whenever the necesary conditions are satisfied.