Decomposition of Quaternary Signed-Graphic Matroids

In this work we provide a decomposition theorem for the class of quaternary and non-binary signed-graphic matroids. This generalizes previous results for binary signed-graphic matroids and graphic matroids, and it provides the theoretical basis for a recognition algorithm.

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Publication Details

Journal
SIAM Journal on Discrete Mathematics
Published
2024-10-08
DOI
https://doi.org/10.1137/22m1522802
Citations
1
Primary Topic
Advanced Graph Theory Research
Type
article
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article

Decomposition of Quaternary Signed-Graphic Matroids

Leonidas Pitsoulis, Konstantinos Papalamprou, Eleni-Maria E. Vretta
1 citations
SIAM Journal on Discrete Mathematics
Advanced Graph Theory Research
article

Decomposition of Quaternary Signed-Graphic Matroids

Leonidas Pitsoulis, Konstantinos Papalamprou, Eleni-Maria E. Vretta
article en
1 citations

Abstract

In this work we provide a decomposition theorem for the class of quaternary and non-binary signed-graphic matroids. This generalizes previous results for binary signed-graphic matroids and graphic matroids, and it provides the theoretical basis for a recognition algorithm.

SIAM Journal on Discrete MathematicsVol. 38(4)
Aristotle University of Thessaloniki (GR)
Openalex Percentile: Top 100%
Advanced Graph Theory Research
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Decomposition of Quaternary Signed-Graphic Matroids — Leonidas Pitsoulis, Konstantinos Papalamprou, et al. · SIAM Journal on Discrete Mathematics (2024) | TGRS Research Map | TGRS