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A New Proof for a Result of Kingan and Lemos’

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Abstract

The prism graph is the planar dual of \(K_5 \backslash e\). Kingan and Lemos (Graphs Comb 30:1479–1497, 2014) proved a decomposition theorem for the class of binary matroids with no prism minor. In this paper, we present a different proof using fundamental graphs and blocking sequences.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Wright State University, Dayton, OH, 45435, USA

    Jesse T. Williams & Xiangqian Zhou

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  1. Jesse T. Williams
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  2. Xiangqian Zhou
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Correspondence to Xiangqian Zhou.

Additional information

The authors wish to thank the anonymous referees for their constructive comments and very helpful suggestions. Dedicated to Dr. Neil Robertson on the occasion of his 75th birthday.

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Williams, J.T., Zhou, X. A New Proof for a Result of Kingan and Lemos’. Graphs and Combinatorics 32, 403–417 (2016). https://doi.org/10.1007/s00373-015-1557-y

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  • DOI: https://doi.org/10.1007/s00373-015-1557-y

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