In particular, we prove that every 8-contraction-critical graph with no minor has at most one vertex of degree 8, where a graph is 8-contraction-critical if is not 7-colorable but every proper minor of is 7-colorable.
Aug 15, 2022 · This is one step in our effort to prove that every graph with no K_7 minor is 7-colorable, which remains open. Subjects ...
Aug 22, 2022 · The purpose of this paper is to study the properties of 8-contraction-critical graphs with no K7 minor. This is one step in our effort to ...
May 1, 2023 · Motivated by the famous Hadwiger's Conjecture, we study the properties of 8-contraction-critical graphs with no K7 minor.
Motivated by the famous Hadwiger's Conjecture, we study the properties of 8-contraction-critical graphs with no K7 minor. In particular, we prove that every ...
May 1, 2023 · Abstract. Motivated by the famous Hadwiger's Conjecture, we study the properties of 8-contraction-critical graphs with no K 7 minor.
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It seems very difficult to prove that every graph with no K 7 minor is 7-colorable. We establish in [17] the properties of 8-contraction-critical graphs ...
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Properties of 8-contraction-critical graphs with no K7 minor (with Martin Rolek and Robin Thomas), European Journal of Combinatorics 110 (2023), 103711. A note ...
May 16, 2017 · ... graph with no K7 minor is 7-colorable. We establish in [17] the properties of 8-contraction-critical graphs with no K7 minor to shed some ...
graph is 6-colorable. We have been able to make some partial progress on this particular problem. If G is an 8-contraction-critical, K7-minor-free graph ...