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» The Complexity of Graph Connectivity
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CORR
2010
Springer
95views Education» more  CORR 2010»
15 years 6 months ago
A lower bound for the tree-width of planar graphs with vital linkages
The disjoint paths problem asks, given an graph G and k + 1 pairs of terminals (s0, t0), . . . , (sk, tk), whether there are k + 1 pairwise disjoint paths P0, . . . , Pk, such tha...
Isolde Adler, Philipp Klaus Krause
COMBINATORICS
2006
221views more  COMBINATORICS 2006»
15 years 6 months ago
Kernels of Directed Graph Laplacians
Abstract. Let G denote a directed graph with adjacency matrix Q and indegree matrix D. We consider the Kirchhoff matrix L = D - Q, sometimes referred to as the directed Laplacian. ...
John S. Caughman IV, J. J. P. Veerman
COMBINATORICS
2006
156views more  COMBINATORICS 2006»
15 years 6 months ago
Total Domination and Matching Numbers in Claw-Free Graphs
A set M of edges of a graph G is a matching if no two edges in M are incident to the same vertex. The matching number of G is the maximum cardinality of a matching of G. A set S o...
Michael A. Henning, Anders Yeo
JCO
2007
113views more  JCO 2007»
15 years 6 months ago
Recent progress in mathematics and engineering on optimal graph labellings with distance conditions
The problem of radio channel assignments with multiple levels of interference can be modelled using graph theory. The theory of integer vertex-labellings of graphs with distance c...
Jerrold R. Griggs, Xiaohua Teresa Jin
IFIP12
2009
15 years 4 months ago
Revealing Paths of Relevant Information in Web Graphs
In this paper we propose a web search methodology based on the Ant Colony Optimization (ACO) algorithm, which aims to enhance the amount of the relevant information in respect to a...
Georgios Kouzas, Vassilis Kolias, Ioannis Anagnost...