$G$-designs for the connected triangular bicyclic graphs with nine edges

A $G$-design of order $n$ is a decomposition of the complete graph $K_n$ 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 $n \equiv 0,1 \pmod{18}$.

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Bibliographic Details
Main Authors: Bryan Freyberg, Dalibor Froncek, Joel Jeffries, Gretta Jensen, Andrew Sailstad
Format: Article
Language:English
Published: University of Isfahan 2024-11-01
Series:Transactions on Combinatorics
Subjects:
Online Access:https://toc.ui.ac.ir/article_28944_0251192f0ac271abed0c719b103dc4d4.pdf
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