A 2-isomorphism theorem for delta-matroids

Iain Moffatt; Jaeseong Oh

doi:10.1016/j.aam.2020.102133

A 2-isomorphism theorem for delta-matroids

Iain Moffatt, Jaeseong Oh

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Abstract

Whitney's 2-Isomorphism Theorem characterises when two graphs have isomorphic cycle matroids. We present an analogue of this theorem for graphs embedded in surfaces by characterising when two graphs in surface have isomorphic delta-matroids.

Original language	English
Article number	102133
Journal	Advances in applied mathematics
Volume	126
Early online date	19 Nov 2020
DOIs	https://doi.org/10.1016/j.aam.2020.102133
Publication status	Published - May 2021

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10.1016/j.aam.2020.102133

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title = "A 2-isomorphism theorem for delta-matroids",

abstract = "Whitney's 2-Isomorphism Theorem characterises when two graphs have isomorphic cycle matroids. We present an analogue of this theorem for graphs embedded in surfaces by characterising when two graphs in surface have isomorphic delta-matroids.",

author = "Iain Moffatt and Jaeseong Oh",

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AB - Whitney's 2-Isomorphism Theorem characterises when two graphs have isomorphic cycle matroids. We present an analogue of this theorem for graphs embedded in surfaces by characterising when two graphs in surface have isomorphic delta-matroids.

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DO - 10.1016/j.aam.2020.102133

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VL - 126

JO - Advances in applied mathematics

JF - Advances in applied mathematics

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