Triangle-free planar graphs with at most <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mn>64</mml:mn></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mn>0.731</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:msup></mml:math> 3-colorings-Reference-Cited by-同舟云学术

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Triangle-free planar graphs with at most 64n0.731 3-colorings

Published:2022-09 Issue: Volume:156 Page:294-298
ISSN:0095-8956
Container-title:Journal of Combinatorial Theory, Series B
language:en
Short-container-title:Journal of Combinatorial Theory, Series B

Author:

Dvořák Zdeněk^ORCID,Postle Luke

Funder

Canada Research Chairs

ERC

Natural Sciences and Engineering Research Council of Canada

European Research Council

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference5 articles.

1. Sub-exponentially many 3-colorings of triangle-free planar graphs;Asadi;J. Comb. Theory, Ser. B,2013

2. Chromatic polynomials;Birkhoff;Trans. Am. Math. Soc.,1946

3. Planar 4-critical graphs with four triangles;Borodin;Eur. J. Comb.,2014

4. Many 3-colorings of triangle-free planar graphs;Thomassen;J. Comb. Theory, Ser. B,2007

5. Exponentially many 3-colorings of planar triangle-free graphs with no short separating cycles;Thomassen;J. Comb. Theory, Ser. B,2021

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