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Community detection in graphs
, 2009
"... The modern science of networks has brought significant advances to our understanding of complex systems. One of the most relevant features of graphs representing real systems is community structure, or clustering, i. e. the organization of vertices in clusters, with many edges joining vertices of th ..."
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Cited by 801 (1 self)
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The modern science of networks has brought significant advances to our understanding of complex systems. One of the most relevant features of graphs representing real systems is community structure, or clustering, i. e. the organization of vertices in clusters, with many edges joining vertices of the same cluster and comparatively few edges joining vertices of different clusters. Such
Query Answering in Inconsistent Databases
, 2003
"... In this chapter, we summarize the research on querying inconsistent databases we have been conducting over the last five years. The formal framework we have used is based on two concepts: repair and consistent query answer. We describe different approaches to the issue of computing consistent query ..."
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Cited by 365 (69 self)
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In this chapter, we summarize the research on querying inconsistent databases we have been conducting over the last five years. The formal framework we have used is based on two concepts: repair and consistent query answer. We describe different approaches to the issue of computing consistent query answers: query transformation, logic programming, inference in annotated logics, and specialized algorithms. We also characterize the computational complexity of this problem. Finally, we discuss related research in artificial intelligence, databases, and logic programming.
Identifying the minimal transversals of a hypergraph and related problems
 SIAM Journal on Computing
, 1995
"... The paper considers two decision problems on hypergraphs, hypergraph saturation and recognition of the transversal hypergraph, and discusses their significance for several search problems in applied computer science. Hypergraph saturation, i.e., given a hypergraph H, decide if every subset of vertic ..."
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Cited by 152 (8 self)
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of vertices is contained in or contains some edge of H, is shown to be coNPcomplete. A certain subproblem of hypergraph saturation, the saturation of simple hypergraphs, is shown to be computationally equivalent to transversal hypergraph recognition, i.e., given two hypergraphs H 1; H 2, decide if the sets
Parallel Algorithms for Hypergraph Partitioning
, 2006
"... Nearoptimal decomposition is central to the efficient solution of numerous problems in scientific computing and computeraided design. In particular, intelligent a priori partitioning of input data can greatly improve the runtime and scalability of largescale parallel computations. Discrete data ..."
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Cited by 5 (1 self)
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data structures such as graphs and hypergraphs are used to formalise such partitioning problems, with hypergraphs typically preferred for their greater expressiveness. Optimal graph and hypergraph partitioning are NPcomplete problems; however, serial heuristic algorithms that run in low
Limits to Parallel Computation: PCompleteness Theory
, 1995
"... D. Kavadias, L. M. Kirousis, and P. G. Spirakis. The complexity of the reliable connectivity problem. Information Processing Letters, 39(5):245252, 13 September 1991. (135) [206] P. Kelsen. On computing a maximal independent set in a hypergraph of constant dimension in parallel. In Proceedings of ..."
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Cited by 167 (5 self)
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D. Kavadias, L. M. Kirousis, and P. G. Spirakis. The complexity of the reliable connectivity problem. Information Processing Letters, 39(5):245252, 13 September 1991. (135) [206] P. Kelsen. On computing a maximal independent set in a hypergraph of constant dimension in parallel. In Proceedings
A dynamic survey of graph labellings
 Electron. J. Combin., Dynamic Surveys(6):95pp
, 2001
"... A graph labeling is an assignment of integers to the vertices or edges, or both, subject to certain conditions. Graph labelings were first introduced in the late 1960s. In the intervening years dozens of graph labelings techniques have been studied in over 1000 papers. Finding out what has been done ..."
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Cited by 167 (0 self)
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A graph labeling is an assignment of integers to the vertices or edges, or both, subject to certain conditions. Graph labelings were first introduced in the late 1960s. In the intervening years dozens of graph labelings techniques have been studied in over 1000 papers. Finding out what has been done for any particular kind of labeling and keeping up with new discoveries is difficult because of the sheer number of papers and because many of the papers have appeared in journals that are not widely available. In this survey I have collected everything I could find on graph labeling. For the convenience of the reader the survey includes a detailed table of contents and index.
Modelling concurrent computations: from contextual Petri nets to graph grammars
, 2000
"... Graph grammars (or graph transformation systems), originally introduced as a generalization of string grammars, can be seen as a powerful formalism for the specification of concurrent and distributed systems, which properly extends Petri nets. The idea is that the state of a distributed system can b ..."
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Cited by 39 (16 self)
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Graph grammars (or graph transformation systems), originally introduced as a generalization of string grammars, can be seen as a powerful formalism for the specification of concurrent and distributed systems, which properly extends Petri nets. The idea is that the state of a distributed system can
Multiobjective hypergraph partitioning algorithms for cut and maximum subdomain degree minimization
 IEEE TRANSACTIONS ON COMPUTER AIDED DESIGN
, 2005
"... In this paper we present a family of multiobjective hypergraph partitioning algorithms based on the multilevel paradigm, which are capable of producing solutions in which both the cut and the maximum subdomain degree are simultaneously minimized. This type of partitionings are critical for existin ..."
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Cited by 29 (0 self)
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In this paper we present a family of multiobjective hypergraph partitioning algorithms based on the multilevel paradigm, which are capable of producing solutions in which both the cut and the maximum subdomain degree are simultaneously minimized. This type of partitionings are critical
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