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Grötzsch′s 3-Color Theorem and Its Counterparts for the ...
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由 C Thomassen 著作1994被引用 143 次 — We prove that every graph on the torus without triangles or quadrilaterals is 3-colorable. This settles a question raised in 1972 by Kronk and White.
Grötzsch's 3-Color Theorem and Its Counterparts for the ...
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It is proved that every graph on the torus without triangles or quadrilaterals is 3-colorable. Abstract We prove that every graph on the torus without ...
Many 3-colorings of triangle-free planar graphs
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由 C Thomassen 著作2007被引用 35 次 — Grötzsch proved that every planar triangle-free graph is 3-colorable. We prove that it has at least distinct 3-colorings where n is the number of vertices.
A simplified discharging proof of Grötzsch theorem
Univerzita Karlova
https://iuuk.mff.cuni.cz › barevnost › shgr
Univerzita Karlova
https://iuuk.mff.cuni.cz › barevnost › shgr
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由 Z Dvorák 著作2013被引用 3 次 — Grötzsch [2] proved that every planar triangle-free graph is 3-colorable, using the discharging method. This proof was simplified by Thomassen ...
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A short list color proof of Grötzsch's theorem
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由 C Thomassen 著作2003被引用 119 次 — Thomassen, Grötzsch's 3-color theorem and its counterpart for the torus and the projective plane, J. Combin. Theory Ser. B 62 (1994) 268-279. Digital ...
A Short Proof of Groetzsch's Three Color Theorem
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We have given a short and efficient algorithmic proof of a theorem of Grötzsch that all triangle-free planar graphs are three colorable.
Fractional coloring of triangle-free planar graphs This research ...
The Electronic Journal of Combinatorics
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The Electronic Journal of Combinatorics
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Theory, Ser. B, 59(2):288--296, 1993. thom-torus C. Thomassen. Grötzsch's 3-color theorem and its counterparts for the torus and the projective plane. J ...
Short proofs of coloring theorems on planar graphs
University of Illinois Urbana-Champaign
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University of Illinois Urbana-Champaign
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由 OV Borodin 著作2014被引用 23 次 — Theory Ser. B 92 (2004) 115–135. [25] C. Thomassen, Grötzsch's 3-color theorem and its counterparts for the torus and the projective plane, J.
Fast 3-coloring Triangle-Free Planar Graphs
mimuw
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mimuw
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由 L Kowalik 著作被引用 10 次 — Although deciding whether the vertices of a planar graph can be colored with three colors is NP-hard, the widely known Grötzsch's theorem states that every ...
21 頁
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A simplified discharging proof of Grötzsch theorem
arXiv
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arXiv
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由 Z Dvořák 著作2013被引用 3 次 — Thomassen, Grötzsch's 3-color theorem and its counterparts for the torus and the projective plane, J. Combin. Theory Ser. B 62 (1994),. 268–279.
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