10 citations · 45 across the 28 of their papers we have counts for
5 papers · 1 filter
Conflict-free vertex-connections of graphs
Xueliang Li, Yingying Zhang, Xiaoyu Zhu +2
A path in a vertex-colored graph is called \emph{conflict free} if there is a color used on exactly one of its vertices. A vertex-colored graph is said to be \emph{conflict-free ve…
Total proper connection and graph operations
Yingying Zhang, Xiaoyu Zhu
A graph is said to be {\it total-colored} if all the edges and vertices of the graph are colored. A path in a total-colored graph is a {\it total proper path} if any two adja…
Proper vertex connection and graph operations
Yingying Zhang, Xiaoyu Zhu
A path in a vertex-colored graph is a {\it vertex-proper path} if any two internal adjacent vertices differ in color. A vertex-colored graph is {\it proper vertex -connected} if…
Excellent extensions and homological conjectures
Yingying Zhang
In this paper, we introduce the notion of excellent extension of rings. Let be an excellent extension of an artin algebra , we prove that satisfies the Gorenstein symmet…
Existence of harmonic maps into CAT(1) spaces
Christine Breiner, Ailana Fraser, Lan-Hsuan Huang +3
Let where is a compact Riemann surface, is a compact locally CAT(1) space, and is defined as in Korevaar-Schoen. We use the tec…