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Chordal completion

In graph theory, a branch of mathematics, a chordal completion of a given undirected graph G is a chordal graph on the same vertex set that has G as… Expand
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Related topics

Related topics

17 relations
Adjacency matrixApproximation algorithmClaw-free graphCograph
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Broader (1)

Graph theory

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2019
2019
On the Minimum Chordal Completion Polytope
A graph is chordal if every cycle of length at least four contains a chord—that is, an edge connecting two nonconsecutive… Expand
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2016
2016
A generalization of the Łoś-Tarski preservation theorem
Abstract We present new parameterized preservation properties that provide for each natural number k, semantic characterizations… Expand
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2015
2015
Chordal Editing is Fixed-Parameter Tractable
Graph modification problems typically ask for a small set of operations that transforms a given graph to have a certain property… Expand
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2015
2015
A Benders Approach to the Minimum Chordal Completion Problem
This paper introduces an integer programming approach to the minimum chordal completion problem. This combinatorial optimization… Expand
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2015
2015
Parameterized complexity : permutation patterns, graph arrangements, and matroid parameters
The theory of parameterized complexity is an area of computer science focusing on refined analysis of hard algorithmic problems… Expand
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2013
2013
An O(n2)O(n2)-time algorithm for the minimal interval completion problem
An interval completion of an arbitrary graph G is an interval graph H, on the same vertex set, obtained from G by adding new… Expand
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2010
2010
An O(n2){\mathcal{O}}(n^2)-time Algorithm for the Minimal Interval Completion Problem
The minimal interval completion problem consists in adding edges to an arbitrary graph so that the resulting graph is an interval… Expand
Highly Cited
2008
Highly Cited
2008
Chordal Deletion is Fixed-Parameter Tractable
  • D. Marx
  • Algorithmica
  • 2008
    • Corpus ID: 13249989
It is known to be NP-hard to decide whether a graph can be made chordal by the deletion of k vertices or by the deletion of k… Expand
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Highly Cited
1997
Highly Cited
1997
Characterizations and Algorithmic Applications of Chordal Graph Embeddings
Abstract We introduce the separator graph for a given graph G and show a 1-1 correspondence between its maximal cliques and the… Expand
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1994
1994
Chordal Completions of Planar Graphs
We prove that every planar graph on n vertices is contained in a chordal graph with at most cn log n edges for some abolsute… Expand
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