5 papers
On the Turán number of
Jingru Yan
Given a graph and a positive integer , the Turán number of for the order , denoted , is the maximum size of a simple graph of order not containing as…
Estimating the circumference of a graph in terms of its leaf number
Jingru Yan
Let be the set of spanning trees of and let be the number of leaves in a tree . The leaf number of is defined as $L(G)=\max\{L(T)|T\in \mathc…
Isolation of the diamond graph
Jingru Yan
A graph is -free if it does not contain as a subgraph. The diamond graph is the graph obtained from by deleting one edge. We prove that if is a connected graph wit…
The Turán number of book graphs
Jingru Yan, Xingzhi Zhan
Given a graph and a positive integer the Turán number of for the order denoted is the maximum size of a simple graph of order not containing…
Equitable coloring of interval graphs and products of graphs
Bor-Liang Chen, Ko-Wei Lih, Jing-Ho Yan
We confirm the equitable -coloring conjecture for interval graphs and establish the monotonicity of equitable colorability for them. We further obtain results on equitable color…