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Infinite graphs with finite 2-distinguishing cost

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Publication:490268
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zbMath1305.05163MaRDI QIDQ490268

Wilfried Imrich, Debra L. Boutin

Publication date: 22 January 2015

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v21i4p52


zbMATH Keywords

automorphismdetermining setdetermining numberdistinguishabilitydistinguishing number


Mathematics Subject Classification ID

Connectivity (05C40) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Infinite graphs (05C63)


Related Items

Finite and infinite vertex-transitive cubic graphs and their distinguishing cost and density ⋮ Asymmetric coloring of locally finite graphs and profinite permutation groups: Tucker's conjecture confirmed ⋮ On a theorem of Halin ⋮ Distinguishing density and the distinct spheres condition



Cites Work

  • Unnamed Item
  • Identifying graph automorphisms using determining sets
  • Using determining sets to distinguish Kneser graphs
  • Chains of subgroups in symmetric groups
  • Symmetry breaking in graphs
  • Automorphisms and endomorphisms of infinite locally finite graphs
  • Distinguishing graphs with infinite motion and nonlinear growth
  • Small label classes in 2-distinguishing labelings
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