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20152026
most citedBreaking the degeneracy barrier for coloring graphs with no minor

24 citations · 111 across the 46 of their papers we have counts for

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Showing 2019Show all

7 papers · 1 filter

math.CO2019★ 8 cited

A new upper bound on the chromatic number of graphs with no odd minor

Sergey Norin, Zi-Xia Song

Gerards and Seymour conjectured that every graph with no odd minor is -colorable. This is a strengthening of the famous Hadwiger's Conjecture. Geelen et al. proved tha…

math.CO2019★ 24 cited

Breaking the degeneracy barrier for coloring graphs with no minor

Sergey Norin, Luke Postle, Zi-Xia Song

In 1943, Hadwiger conjectured that every graph with no minor is -colorable for every . In the 1980s, Kostochka and Thomason independently proved that every gr…

math.CO2019★ 1 cited

Antimagic orientations of graphs with given independence number

Zi-Xia Song, Donglei Yang, Fangfang Zhang

Given a digraph with arcs and a bijection , we say is an antimagic orientation of a graph if is an orientation of $…

math.CO2019★ 3 cited

Antimagic orientations of graphs with large maximum degree

Donglei Yang, Joshua Carlson, Andrew Owens +5

Given a digraph with arcs, a bijection is an antimagic labeling of if no two vertices in have the same vertex-sum, where t…

math.CO2019

Gallai-Ramsey number of even cycles with chords

Fangfang Zhang, Zi-Xia Song, Yaojun Chen

For a graph and an integer , the -color Ramsey number is the least integer such that every -coloring of the edges of the complete graph contains…

math.CO2019★ 1 cited

A note on Gallai-Ramsey number of even wheels

Zi-Xia Song, Bing Wei, Fangfang Zhang +1

A Gallai coloring of a complete graph is an edge-coloring such that no triangle has all its edges colored differently. A Gallai -coloring is a Gallai coloring that uses colo…

math.CO2019

On the size of -co-critical graphs

Zi-Xia Song, Jingmei Zhang

Given an integer and graphs , we write if every -coloring of the edges of contains a monochromatic copy o…