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arXiv · 2209.15183

Graphs with the same truncated cycle matroid

Jose De Jesus·Alexander Kelmans
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Abstract

The classical Whitney's 2-Isomorphism Theorem describes the families of graphs having the same cycle matroid. In this paper we describe the families of graphs having the same truncated cycle matroid and prove, in particular, that every 3-connected graph, except for K4, is uniquely defined by its truncated cycle matroid.

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Jose De Jesus, Alexander Kelmans. 2022-09-30. Graphs with the same truncated cycle matroid. https://arxiv.org/abs/2209.15183

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