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» Switching Graphs and Their Complexity
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EJC
2008
13 years 10 months ago
The distinguishing number of Cartesian products of complete graphs
The distinguishing number D(G) of a graph G is the least integer d such that G has a labeling with d labels that is preserved only by a trivial automorphism. We prove that Cartesi...
Wilfried Imrich, Janja Jerebic, Sandi Klavzar
PCI
2005
Springer
14 years 3 months ago
NGCE - Network Graphs for Computer Epidemiologists
Abstract. Graphs are useful data structures capable of efficiently representing a variety of technological and social networks. They are therefore utilized in simulation-based stud...
Vasileios Vlachos, Vassiliki Vouzi, Damianos Chatz...
COCOON
1999
Springer
14 years 2 months ago
Area Minimization for Grid Visibility Representation of Hierarchically Planar Graphs
Abstract. Hierarchical graphs are an important class of graphs for modelling many real applications in software and information visualization. In this paper, we shall investigate t...
Xuemin Lin, Peter Eades
FSTTCS
2008
Springer
13 years 11 months ago
3-connected Planar Graph Isomorphism is in Log-space
We consider the isomorphism and canonization problem for 3-connected planar graphs. The problem was known to be L -hard and in UL ∩ coUL [TW08]. In this paper, we give a determin...
Samir Datta, Nutan Limaye, Prajakta Nimbhorkar
CORR
2008
Springer
123views Education» more  CORR 2008»
13 years 10 months ago
On the graph isomorphism problem
We relate the graph isomorphism problem to the solvability of certain systems of linear equations and linear inequalities. The number of these equations and inequalities is relate...
Shmuel Friedland