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The Regular Excluded Minors for Signed-Graphic Matroids

Published online by Cambridge University Press:  14 September 2009

HONGXUN QIN ,
DANIEL C. SLILATY  and
XIANQQIAN ZHOU
HONGXUN QIN
Affiliation:
Department of Mathematics, The George Washington University, Washington DC, 20052, USA (e-mail: hqin@gwu.edu)
DANIEL C. SLILATY
Affiliation:
Department of Mathematics and Statistics, Wright State University, Dayton, OH 45435, USA (e-mail: daniel.slilaty@wright.edu, xiangqian.zhou@wright.edu)
XIANQQIAN ZHOU
Affiliation:
Department of Mathematics and Statistics, Wright State University, Dayton, OH 45435, USA (e-mail: daniel.slilaty@wright.edu, xiangqian.zhou@wright.edu)
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Abstract

We show that the complete list of regular excluded minors for the class of signed-graphic matroids is M*(G1),. . . , M*(G29), R15, R16. Here G1,. . . , G29 are the vertically 2-connected excluded minors for the class of projective-planar graphs and R15 and R16 are two regular matroids that we will define in the article.

Type
Paper
Information
Combinatorics, Probability and Computing , Volume 18 , Issue 6 , November 2009 , pp. 953 - 978
Copyright
Copyright © Cambridge University Press 2009

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