2 papers
math.CO2019
Wiener index and Harary index on pancyclic graphs
Huicai Jia, Hongye Song
Wiener index and Harary index are two classic and well-known topological indices for the characterization of molecular graphs. Recently, Yu et al. \cite{YYSX} established some suff…
math.DG2015
Ultracontractivity and functional inequalities on infinite graphs
Yong Lin, Shuang Liu, Hongye Song
In this paper, we prove the equivalent of ultracontractive bound of heat semigroup or the uniform upper bound of the heat kernel with the Nash inequality, Log-Sobolev inequalities…