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Duplex Encoding of Antibandwidth Feasibility Formulas Submitted to the SAT Competition 2020

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Abstract

This benchmark set is originating in our recent work on the antibandwidth problem (in short ABP) presented in [1]. The ABP is a max-min optimization problem where, for a given graph G= (V,E), the goal is to assign a unique label from the range [1,...,|V|] to each vertex v∈V, such that the smallest difference between labels of neighbouring nodes is maximal.Applications of the ABP include for example scheduling,obnoxious facility location, radio frequency assignment. To solve the ABP, in [2] an iterative solution method was proposed, where each iteration asked whether there exists a labelling to the graph, s.t. the smallest difference between labels of neighbours is greater thank. Finding the highest k where the answer is still affirmative determines the optimal solution of the ABP. In [1] we slightly refined the proposed formalization of [2] s.t. the question of each iteration can bestated as combinations of at-most-one constraints sliding overk-long sequences of binary variables.
Original languageEnglish
Title of host publicationProc. of SAT Competition 2020 - Solver and Benchmark Descriptions
Editors Tomas Balyo, Nils Froleyks, Marijn Heule, Markus Iser, Matti Järvisalo, Martin Suda
PublisherUniversity of Helsinki
Pages81-82
Number of pages2
VolumeB-2020-1
Publication statusPublished - 2020

Publication series

NameDepartment of Computer Science Report Series B

Fields of science

  • 102 Computer Sciences
  • 102001 Artificial intelligence
  • 102011 Formal languages
  • 102022 Software development
  • 102031 Theoretical computer science
  • 603109 Logic
  • 202006 Computer hardware

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