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G-DESIGNS FOR THE CONNECTED TRIANGULAR BICYCLIC GRAPHS WITH NINE EDGES

  • Bryan Freyberg
  • , Dalibor Froncek
  • , Joel Jeffries
  • , Gretta Jensen
  • , Andrew Sailstad

Research output: Contribution to journal › Article › peer-review

Abstract

A G-design of order n is a decomposition of the complete graph Kn into isomorphic copies of G. We show that if G is a connected bicyclic graph with nine edges containing two triangles, a G-design of order n exists whenever n ≡ 0, 1 (mod 18).

Original languageEnglish (US)
Pages (from-to)271-281
Number of pages11
JournalTransactions on Combinatorics
Volume14
Issue number4
DOIs
StatePublished - 2025

Bibliographical note

Publisher Copyright:
© 2025 University of Isfahan

Keywords

  • bicyclic graphs
  • graph decomposition
  • rho-labelings

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