5 papers
Integer Flows on Cyclic Covers of Graphs
Rong Luo, Yuying Ma, D. Christopher Stephens +1
Graph covers preserve the local structure of a graph while allowing its global structure to change substantially. In this paper, we study how such changes in cyclic covers affect n…
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--crit…
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 …
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=(X…