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Article
Ultracontractivity and Functional Inequalities on Infinite Graphs
We prove the equivalence between some functional inequalities and the ultracontractivity property of the heat semigroup on infinite graphs. These functional inequalities include Sobolev inequalities, Nash ineq...
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Article
Open AccessRemoteness and distance, distance (signless) Laplacian eigenvalues of a graph
Let G be a connected graph of order n. The remoteness of G, denoted by ρ, is the maximum average distance from a vertex to all other vertices. Let ...
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Chapter and Conference Paper
WCP-Nets: A Weighted Extension to CP-Nets for Web Service Selection
User preference often plays a key role in personalized applications such as web service selection. CP-nets is a compact and intuitive formalism for representing and reasoning with conditional preferences. Howe...