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Maximum spectral radius of graphs with given connectivity and minimum degree
connectivity spectral radius Combinatorics
2011/9/21
Abstract: Shiu, Chan and Chang [On the spectral radius of graphs with connectivity at most $k$, J. Math. Chem., 46 (2009), 340-346] studied the spectral radius of graphs of order $n$ with $\kappa(G) \...
Random Walk on a Co-Compact Fuchsian Group: Behavior of the Green's Function at the Spectral Radius
hyperbolic group surface group randomwalk Green’s function Gromov boundary Martin boundary Ruelle operator theorem
2011/9/22
Abstract: It is proved that the Green's function of a symmetric finite range random walk on a co-compact Fuchsian group decays exponentially in distance at the radius of convergence R. It is also show...
Continuity of the cone spectral radius
Cone spectral radius, continuity, cone spectrum, nonlinear cone maps,fixed point index
2011/9/19
Abstract: This paper concerns the question whether the cone spectral radius of a continuous compact order-preserving homogenous map on a closed cone in Banach space depends continuously on the map. Us...
A Gel'fand-type spectral radius formula and stability of linear constrained switching systems
Joint/generalized spectral radius Gel’fand-type spectral-radius formula linear switched system asymptotic stability
2011/8/22
Abstract: Using ergodic theory, in this paper we present a Gel'fand-type spectral radius formula which states that the joint spectral radius is equal to the generalized spectral radius for a matrix mu...
Minimizing Laplacian spectral radius of unicyclic graphs with fixed girth
Laplacian matrix Laplacian spectral radius girth unicyclic graph
2011/1/18
In this paper we consider the following problem: Over the class of all simple con-nected unicyclic graphs on n vertices with girth g (n, g being fixed), which graph minimizes the Laplacian spectral ra...
Connectivity and Minimal Distance Spectral Radius of Graphs
Connectivity Spectral Radius of Graphs
2010/11/15
In this paper, we study how the distance spectral radius behaves when the graph is perturbed by grafting edges. As applications, we also determine the graph with $k$ cut vertices (respectively, $k$ cu...
A CONNECTED GRAPH IS PATH-POSITIVE IFF ITS SPECTRAL RADIUS IS AT LEAST TWO
Matrix connected graph characteristic
2007/8/7
The main purpose of this paper is to prove that a connected graph is pathpositive if and only if its spectral radius is at least two.
武汉大学长江特聘教授吴黎明教授于2005年9月9日来上海交通大学闵行校区数学楼中会议室作题目为：《Essential spectral radius for Markov semigroups》的学术讲座。