Publications related to Geometric Graph Matching Using Monte Carlo Tree Search

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Analysis of a Canonical Labeling Algorithm for the Alignment of Correlated Erdős-Rényi Graphs

Matthias Grossglauser, Negar Kiyavash, Osman Emre Dai

Graph alignment in two correlated random graphs refers to the task of identifying the correspondence between vertex sets of the graphs. Recent results have characterized the exact information-theoretic threshold for graph alignment in correlated Erdös-Rény ...

Association for Computing Machinery (ACM)2019

Asyrnptotics for the Turan number of Berge-K-2,K-t

Abhishek Methuku

Let F be a graph. A hypergraph is called Berge-F if it can be obtained by replacing each edge in F by a hyperedge containing it. Let F be a family of graphs. The Turan number of the family Berge-F is the maximum possible number of edges in an r-uniform hyp ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2019

Anytime Heuristic for Weighted Matching Through Altruism-Inspired Behavior

Boi Faltings, Aris Filos Ratsikas, Panayiotis Danassis

We present a novel anytime heuristic (ALMA), inspired by the human principle of altruism, for solving the assignment problem. ALMA is decentralized, completely uncoupled, and requires no communication between the participants. We prove an upper bound on th ...

2019

Finding Perfect Matchings in Bipartite Hypergraphs

Chidambaram Annamalai

Haxell's condition [14] is a natural hypergraph analog of Hall's condition, which is a well-known necessary and sufficient condition for a bipartite graph to admit a perfect matching. That is, when Haxell's condition holds it forces the existence of a perf ...

SPRINGER HEIDELBERG2018

Independence number of generalized Petersen graphs

Javad Ebrahimi Boroojeni

Determining the size of a maximum independent set of a graph G, denoted by alpha(G), is an NP-hard problem. Therefore many attempts are made to find upper and lower bounds, or exact values of alpha(G) for special classes of graphs. This paper is aimed towa ...

Charles Babbage Res Ctr2016

Association Generation in Synthetic Population for Transportation Applications: Graph-Theoretic Solution

Michel Bierlaire, Bilal Farooq, Dimitrios Efthymiou, Paul Richard Anderson

The generation of synthetic populations through simulation methods is an important research topic and has a key application in agent-based modeling of transport and land use. The next step in this research area is the generation of complete synthetic house ...

Natl Acad Sciences2014

On the Performance of Percolation Graph Matching

Matthias Grossglauser, Lyudmila Yartseva

Graph matching is a generalization of the classic graph isomorphism problem. By using only their structures a graph-matching algorithm finds a map between the vertex sets of two similar graphs. This has applications in the de-anonymization of social and in ...

ACM2013

A Bayesian Method for Matching Two Similar Graphs without Seeds

Matthias Grossglauser, Pedram Pedarsani

Approximate graph matching (AGM) refers to the problem of mapping the vertices of two structurally similar graphs, which has applications in social networks, computer vision, chemistry, and biology. Given its computational cost, AGM has mostly been limited ...

2013

Geometric Graph Matching Using Monte Carlo Tree Search

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New Graph Algorithms via Polyhedral Techniques

Analysis of a Canonical Labeling Algorithm for the Alignment of Correlated Erdős-Rényi Graphs

Asyrnptotics for the Turan number of Berge-K-2,K-t

Anytime Heuristic for Weighted Matching Through Altruism-Inspired Behavior

Finding Perfect Matchings in Bipartite Hypergraphs

The weighted stable matching problem

Independence number of generalized Petersen graphs

Association Generation in Synthetic Population for Transportation Applications: Graph-Theoretic Solution

On the Performance of Percolation Graph Matching

A Bayesian Method for Matching Two Similar Graphs without Seeds

Anytime Heuristic for Weighted Matching Through Altruism-Inspired Behavior

Analysis of a Canonical Labeling Algorithm for the Alignment of Correlated Erdős-Rényi Graphs

New Graph Algorithms via Polyhedral Techniques

Finding Perfect Matchings in Bipartite Hypergraphs

The weighted stable matching problem

Asyrnptotics for the Turan number of Berge-K-2,K-t

Independence number of generalized Petersen graphs

Association Generation in Synthetic Population for Transportation Applications: Graph-Theoretic Solution

On the Performance of Percolation Graph Matching

A Bayesian Method for Matching Two Similar Graphs without Seeds