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» The Linear Complexity of a Graph
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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
ISSRE
2007
IEEE
13 years 9 months ago
Predicting Subsystem Failures using Dependency Graph Complexities
In any software project, developers need to be aware of existing dependencies and how they affect their system. We investigated the architecture and dependencies of Windows Server...
Thomas Zimmermann, Nachiappan Nagappan
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
CORR
2010
Springer
90views Education» more  CORR 2010»
13 years 8 months ago
Logical complexity of graphs: a survey
We discuss the definability of finite graphs in first-order logic with two relation symbols for adjacency and equality of vertices. The logical depth D(G) of a graph G is equal to ...
Oleg Pikhurko, Oleg Verbitsky
PODC
2006
ACM
14 years 1 months ago
On the complexity of distributed graph coloring
Coloring the nodes of a graph with a small number of colors is one of the most fundamental problems in theoretical computer science. In this paper, we study graph coloring in a di...
Fabian Kuhn, Roger Wattenhofer