4 papers
On the Spectra of Chromatic Number and Chromatic Index of Cyclic Covers
Guantao Chen, Hein van der Holst, Rong Luo +1
For a fixed integer , we study what values of chromatic index and chromatic number can be attained by some -fold cyclic cover of a loopless multigraph. For edge-c…
Average degrees of edge--critical multigraphs
Guantao Chen, Yuying Ma, Yimo Su +1
Let be a loopless multigraph with maximum degree , average degree , density , and chromatic index . A multigraph is called edge--…
Strong binding numbers and factors
Guantao Chen, Mikhail Lavrov, Yuying Ma +2
Let be a simple graph. The -th neighborhood of a vertex subset , denoted , is the set of vertices that are adjacent to at least vertices in $S…
Bipartite graphs with the double Hall property
Guantao Chen, Mikhail Lavrov, Yuying Ma +2
The super-neighborhood of a vertex set in a graph , denoted by , is the set of vertices adjacent to at least two vertices in . We say that a bipartite graph $G=(…