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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Karen P. Nocum
Batangas State University The National Engineering University, Philippines
Electrical & Electronics Engineering

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On matching number, decomposition and representation of well-formed graph Alex Ralph Baisa Nieva; Karen P. Nocum
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 11, No 2 (2023): 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.2023.11.2.13

Abstract

In this paper, we find a special type of non-traceable cubic bridge graph called well-formed graph whose central fragment is isomorphic to a hairy cycle and whose branches are pairwise isomorphic. We then show that a well-formed graph can be partition into isomorphic subgraph. Some properties of a well-formed graph such as perfect matching, matching number, decomposition and some parameters for pictorial representation are also provided.
Co-Authors Alex Ralph Baisa Nieva