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An excluded minor theorem for the Wagner graph plus an edge by Xu, Yuqi; Yang, Weihua is a scholarly article available to read on EtoBox.

What is An excluded minor theorem for the Wagner graph plus an edge about?

Let $V_{8}+e$ denote the unique graph obtained from the Wagner graph, also known as $V_{8}$, by adding an edge between two vertices of distance 3 on the Hamilton cycle, which is exactly a split of a minor of the Petersen graph. A complete characterization of all internally 4-connected graphs with no $V_{8}$ minor is given in [J. Maharry and N. Robertson, The structure of graphs not topologically containing the Wagner graph, J. Combin. Theory Ser. B 121 (2016) 398-420]. In this paper we characterize all internally 4-connected graphs with no $V_{8}+e$ minor.

Author

Xu, Yuqi; Yang, Weihua

Published

2022

Language

EN