5 papers
On the size of special class 1 graphs and -co-critical graphs
Gang Chen, Zhengke Miao, Zi-Xia Song +1
A well-known theorem of Vizing states that if is a simple graph with maximum degree , then the chromatic index of is or . A graph is class 1 if $χ'(…
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…
Gallai-Ramsey numbers of and
Hui Lei, Yongtang Shi, Zi-Xia Song +1
A Gallai coloring is a coloring of the edges of a complete graph without rainbow triangles, and a Gallai -coloring is a Gallai coloring that uses colors. Given an integer $k…
Improved Upper Bounds for Gallai-Ramsey Numbers of Odd Cycles
Christian Bosse, Zi-Xia Song, Jingmei Zhang
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…
A conjecture on Gallai-Ramsey numbers of even cycles and paths
Zi-Xia Song, Jingmei Zhang
A Gallai coloring is a coloring of the edges of a complete graph without rainbow triangles, and a Gallai -coloring is a Gallai coloring that uses at most colors. Given an in…