Algebraic graph theory

Algebraic graph theory is a branch of mathematics in which algebraic methods are applied to problems about graphs. This is in contrast to geometric…

Papers overview

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2015

This paper investigates weighted group-consensus problems of multi-agent systems with/without time-delay. Firstly, for the system…

2015

This paper proposes two novel nonlinear discrete-time distributed algorithms to solve a class of resource allocation problems…

2014

The consensus problem for discrete time second-order multiagent systems with time delay is studied. Some effective methods are…

2014

Traditional rough set theory is only suitable for dealing with discrete variables and need data preprocessing. Neighborhood rough…

2013

A novel unified Bayesian framework for network detection is developed, under which a detection algorithm is derived based on…

2010

This paper develops a framework for treating multiagent consensus problems using quantized control. Specifically, we present…

2008

The purpose of this short paper is to provide a theoretical analysis for the consensus problem under nonlinear protocols. A main…

2008

Frequency Assignment Problems (FAPs) arise when transmitters need to be allocated frequencies with the aim of minimizing…

2003

An efficient algorithm is presented for the formation of suboptimal cycle bases of graphs corresponding to sparse cycle adjacency…

1999

Let I-" be an eigenvalue of the graph G with multiplicity k. A star set corresponding to I-" in G is a subset of V(G) such that…