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» On Graph Complexity
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COCOON
2007
Springer
14 years 1 months ago
Connected Coloring Completion for General Graphs: Algorithms and Complexity
An r-component connected coloring of a graph is a coloring of the vertices so that each color class induces a subgraph having at most r connected components. The concept has been w...
Benny Chor, Michael R. Fellows, Mark A. Ragan, Igo...
CIE
2006
Springer
13 years 11 months ago
From a Zoo to a Zoology: Descriptive Complexity for Graph Polynomials
Abstract. We outline a general theory of graph polynomials which covers all the examples we found in the vast literature, in particular, the chromatic polynomial, various generaliz...
Johann A. Makowsky
LPAR
2004
Springer
14 years 26 days ago
Entanglement - A Measure for the Complexity of Directed Graphs with Applications to Logic and Games
We propose a new parameter for the complexity of finite directed graphs which measures to what extent the cycles of the graph are intertwined. This measure, called entanglement, i...
Dietmar Berwanger, Erich Grädel
ACSAC
2005
IEEE
14 years 1 months ago
Understanding Complex Network Attack Graphs through Clustered Adjacency Matrices
We apply adjacency matrix clustering to network attack graphs for attack correlation, prediction, and hypothesizing. We self-multiply the clustered adjacency matrices to show atta...
Steven Noel, Sushil Jajodia
FSTTCS
1994
Springer
13 years 11 months ago
On the Interactive Complexity of Graph Reliability
We give an interactive protocol for s-t RELIABILITY, the well known reliability problem on graphs. Our protocol shows that if IP(f(n)) denotes the class of languages whose interac...
Jean Marc Couveignes, Juan Francisco Diaz-Frias, M...