Decomposition of complete graphs into tri-cyclic graphs with eight edges

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Abstract

In this paper, we use standard graph labeling techniques to prove that each tri-cyclic graph with eight edges decomposes the complete graph Knif and only if n = 0,1 (mod 16). We apply ^-tripartite labelings and 1-rotational p-tripartite labelings.

Original languageEnglish (US)
Pages (from-to)143-165
Number of pages23
JournalJournal of Combinatorial Mathematics and Combinatorial Computing
Volume114
StatePublished - Aug 2020

Bibliographical note

Publisher Copyright:
© 2020 Charles Babbage Research Centre. All rights reserved.

Keywords

  • G-design
  • Graph decomposition
  • P-labeling

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