Optimal Symmetry Breaking for Graph Problems

The current state-of-the-art symmetry-breaking methods for SAT [10] or specifically for graphs [11] are unable to break all symmetries for graph problems of ...

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

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 techniques break graph symmetries only ...

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 ...

Optimal Symmetry Breaking for Graph Problems - ResearchGate

Symmetry breaking is a crucial technique to solve many graph problems. However, current state-of-the-art techniques break graph symmetries only partially, ...

How can I best handle symmetries in my MIP?

Margot presents this rule of thumb: For problems with a symmetry group of order up to a few thousands of permutations, dynamic symmetry breaking ...

Breaking Symmetries in Graphs - Illinois Institute of Technology

Graph Packing – p.14/18. Page 38. Proof Idea for Main Theorem. Fix an optimal proper coloring of G. Embed G in a complete multipartite graph H. Form H by ...

Symmetry Breaking - (Combinatorial Optimization) - Fiveable

... optimal solution. This concept is crucial in making ... How does symmetry breaking enhance the efficiency of solving constraint satisfaction problems?

Breaking Symmetries in Graph Representation - IJCAI

For ex- ample, consider the problem to determine if there exists an undirected graph with 31 nodes, 81 edges, and which does not contain cycles of length 4 or ...

The Complexity of Symmetry Breaking Beyond Lex-Leader - arXiv

Our results explain the difficulty of obtaining short SBPs for important CP problems, such as matrix-models with row-column symmetries and graph ...

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

graph search problem solving: To solve a graph search problem ϕ on order n graphs, first generate the canonical graphs of some order k < n. Then, compute ...

Optimal Symmetry Breaking for Graph Problems - OUCI

Optimal Symmetry Breaking for Graph Problems. https://doi.org/10.1007/s11786-019-00397-5. Journal: Mathematics in Computer Science, 2019, № 4, p. 533-548.

Breaking Symmetries in Graph Representation

... graph problems and illustrate the advantage of symmetry breaking on the graph ... not form a cycle, and we consider the optimization problem which ...

Optimizing over trained GNNs via symmetry breaking - arXiv

To circumvent the symmetry issue caused by graph isomorphism, we propose two types of symmetry-breaking constraints: one indexing a node 0 and ...

Distributed Symmetry Breaking in Graphs with Bounded Diversity

Then it becomes possible to employ efficient symmetry-breaking algorithms for bounded-degree graphs and extend the results to all the connectors in the series ...

Incremental Symmetry Breaking Constraints for Graph Search ...

This paper introduces incremental symmetry breaking constraints for graph search problems which are complete and compact. We show that these ...

Optimizing over trained GNNs via symmetry breaking - OpenReview

This paper formulates and solves optimization problems constrained by trained graph neural networks (GNNs). To circumvent the symmetry issue caused by graph ...

Breaking Instance-Independent Symmetries in Exact Graph Coloring

Code optimization and high level synthesis can be posed as constraint satisfaction and optimization problems, such as graph coloring used in register ...

Shiqiang Zhang: Optimizing over trained GNNs via symmetry breaking

We consider optimization over trained GNNs and propose symmetry-breaking constraints to break symmetry caused by graph isomorphism.

Symmetry breaking in optimal transport networks - Nature

Here, we show that optimal networks undergo sharp transitions from symmetric to asymmetric shapes, indicating that it is sometimes better to ...