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- W2170136611 abstract "Let K3,t∗ denote the graph obtained from K3,t by adding all edges between the three vertices of degree t in it. We prove that for each t≥6300 and n≥t+3, each n-vertex graph G with e(G)>12(t+3)(n−2)+1 has a K3,t∗-minor. The bound is sharp in the sense that for every t, there are infinitely many graphs G with e(G)=12(t+3)(|V(G)|−2)+1 that have no K3,t-minor. The result confirms a partial case of the conjecture by Woodall and Seymour that every (s+t)-chromatic graph has a Ks,t-minor." @default.
- W2170136611 created "2016-06-24" @default.
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- W2170136611 date "2010-10-01" @default.
- W2170136611 modified "2023-10-05" @default.
- W2170136611 title "Dense graphs have <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si3.gif display=inline overflow=scroll><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn><mml:mo>,</mml:mo><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:math> minors" @default.
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- W2170136611 doi "https://doi.org/10.1016/j.disc.2010.03.026" @default.
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