Symmetry Breaking in Graphs

Symmetry Breaking in Graphs · Michael O. Albertson · Karen L. Collins. DOI: https://doi.org/10.37236/1242 ...

Optimal Symmetry Breaking for Graph Problems

Any perfect symmetry-breaking technique would ensure that only one graph is active per isomorphism class. Reducing the average number of active. Page 2. 2.

Breaking Symmetries in Graphs - Illinois Institute of Technology

Breaking Symmetries in Graphs. Hemanshu Kaul [email protected] www.math.iit.edu/∼kaul . Illinois Institute of Technology. Graph Packing – p.1/18. Page 2 ...

Breaking Symmetries in Graph Representation - IJCAI

In this paper we introduce novel, effective and compact, symmetry breaking constraints for undirected graph search. While incomplete, these prove highly ...

The Complexity of Symmetry Breaking in Massive Graphs - arXiv

The goal of this paper is to understand the complexity of symmetry breaking problems, specifically maximal independent set (MIS) and the closely related \beta- ...

Symmetry Breaking in Discrete Structures

One of the fundamental early results for symmetry breaking in graphs is due to Collins and Trenk [8]: if the finite graph Γ has maximum valence. ∆(Γ) = d ...

SYMMETRY BREAKING IN GRAPHS - Karen L. Collins

vertex of degree one attached to each vertex in the complete graph (so Gn has 2n vertices. Then D(Gn) = dpne, since Gn is distinguished when every leaf edge is ...

Breaking Symmetries in Graphs: The Nauty Way - SpringerLink

Symmetry breaking is an essential component when solving graph search problems as it restricts the search space to that of canonical representations.

Symmetry Breaking in Graphs - American Mathematical Society

Abstract. Given a graph $G$, a natural question to ask is, \emph{``How symmetric is $G$?"} In this talk, we investigate this question under the umbrella of two ...

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Symmetries and symmetry-breaking in arithmetic graphs

In this paper, we study symmetries and symmetry-breaking of the arithmetic graph of a composite number m, denoted by A m . We first study some properties ...

SYMMETRY BREAKING IN GRAPHS - CiteSeerX

SYMMETRY BREAKING IN GRAPHS. Michael О. Albertson. Department of Mathematics. Smith College. Northampton MA 01063 albertson smith.smith.edu. Karen L. ollins.

Breaking Symmetries in Graph Representation

We illustrate the application of symmetry breaking in graph representation to resolve several open instances in extremal graph theory. 1 ...

The Quest for Perfect and Compact Symmetry Breaking for Graph ...

Abstract—Symmetry breaking is a crucial technique to solve many graph problems. However, current state-of-the-art tech- niques break graph symmetries only ...

On the Effectiveness of Symmetry Breaking - QC

The random graph has continuum-many automorphisms, and is ultrahomogeneous: every finite partial automorphism extends to an automorphism of the entire graph. ( ...

Symmetry breaking in graphs. - EuDML

Albertson, Michael O., and Collins, Karen L.. "Symmetry breaking in graphs.." The Electronic Journal of Combinatorics [electronic only] 3.1 (1996): .

The Quest for Perfect and Compact Symmetry Breaking for Graph ...

We study properties of perfect symmetry breaking for graph problems. One promising and surprising result on small-sized graphs-up to order five- is that perfect ...

Incremental Symmetry Breaking Constraints for Graph Search ... - AAAI

The contribution is that the proposed symmetry breaking con- straints enable us to extend the order k canonical graphs to order n canonical solutions. We ...

(PDF) Breaking symmetries in graph representation - ResearchGate

... One popular way to break symmetries in graphs is closely connected with canonical representation of graph -lexicographically minimum graph with respect to a ...

"Symmetry Breaking in Graphs and Matroids" by Jenny McNulty

"What can we do to an object to break its symmetry?" That is, how can we restrict the object in some way so that the only automorphism is trivial?