Longest Cycles of a 3-Connected Graph Which Contain Four Contractible Edges

Kyo Fujita

doi:10.55937/sut/1205868627

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Home > Journals > SUT J. Math. > Volume 43 > Issue 2 > Article

June 2007 Longest Cycles of a

3

-Connected Graph Which Contain Four Contractible Edges

Kyo Fujita

Author Affiliations +

Kyo Fujita¹
¹Department of Life Sciences, Toyo University, 1-1-1 Izumino, Itakura-machi, Oura-gun, Gunma, 374-0193 Japan

SUT J. Math. 43(2): 287-303 (June 2007). DOI: 10.55937/sut/1205868627

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Abstract

We classify all pairs $(G,C)$ of a $3$ -connected graph $G$ and a longest cycle $C$ of $G$ such that $C$ contains precisely four contractible edges of $G$ .

Acknowledgment

I would like to thank Professor Yoshimi Egawa for the help he gave to me during the preparation of this paper.

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Kyo Fujita. "Longest Cycles of a $3$ -Connected Graph Which Contain Four Contractible Edges." SUT J. Math. 43 (2) 287 - 303, June 2007. https://doi.org/10.55937/sut/1205868627