In this talk,we will introduce a general algebraic technique(Combinatorial Nullstellensatz)and its applications in graph colorings.We also mention a probabi
For any integer m>0 and any real c,let f(m,c)=∑∞k=0(km+1)k-1cke-(km+1)c/k!.The identity f(m,/c=m)m=f(1,c)arises in the random graph theory.Here we present
Graphs/digraphs of graph theory are naturally and vividly used to be models for understanding and simulating complex networks nowadays.We talk about some ph
In this talk,we give Brualdi-type eigenvalue inclusion sets of tensors by using associated digraphs of tensors,and discuss some properties of Z-eigenvalues
The arc-chromatic number of a digraph is the smallest number of colors required in an arc-coloring such that no two consecutive arcs get the same color.
Graphs are frequently used by computer scientists as abstractions when modeling an application problem in networks.Cutting a graph into smaller pieces is on
Let G be a graph and id(v) denote the implicit degree of a vertex v in G.An induced subgraph H of G is called f-implicit-heavy if max{id(x),id(y)}≥|V(G)|/2