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APPML
2006
80views more  APPML 2006»
15 years 6 months ago
Unicyclic graphs with exactly two main eigenvalues
An eigenvalue of a graph G is called a main eigenvalue if it has an eigenvector the sum of whose entries is not equal to zero, and it is well known that a graph has exactly one ma...
Yaoping Hou, Feng Tian
DM
2006
101views more  DM 2006»
15 years 6 months ago
Collapsible biclaw-free graphs
A graph is called biclaw-free if it has no biclaw as an induced subgraph. In this note, we prove that if G is a connected bipartite biclaw-free graph with (G) 5, then G is collap...
Hong-Jian Lai, Xiangjuan Yao
ICPP
1995
IEEE
15 years 10 months ago
Generalized Algorithm for Parallel Sorting on Product Networks
If G is a connected graph with N nodes, its r dimensional product contains Nr nodes. We present an algorithm which sorts Nr keys stored in the rdimensional product of any graph G ...
Antonio Fernández, Nancy Eleser, Kemal Efe
CORR
2008
Springer
169views Education» more  CORR 2008»
15 years 6 months ago
Tight Approximation Ratio of a General Greedy Splitting Algorithm for the Minimum k-Way Cut Problem
For an edge-weighted connected undirected graph, the minimum k-way cut problem is to find a subset of edges of minimum total weight whose removal separates the graph into k connect...
Mingyu Xiao, Leizhen Cai, Andrew C. Yao
ICRA
2009
IEEE
142views Robotics» more  ICRA 2009»
15 years 4 months ago
Making networked robots connectivity-aware
Maintaining the network connectivity in mobile Multi-Robot Systems (MRSs) is a key issue in many robotic applications. In our view, the solution to this problem consists of two mai...
Van Tuan Le, Noury Bouraqadi, Serge Stinckwich, Vi...