Local move connectedness of domino tilings with diagonal impurities

Fuminiko Nakano, Hirotaka Ono, Taizo Sadahiro

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We study the perfect matchings in the dual of the square-octagon lattice graph, which can be considered as domino tilings with impurities in some sense. In particular, we show the local move connectedness, that is, if G is a vertex induced finite subgraph which is simply connected, then any perfect matching in G can be transformed into any other perfect matching in G by applying a sequence of local moves each of which involves only two edges.

Original languageEnglish
Pages (from-to)1918-1931
Number of pages14
JournalDiscrete Mathematics
Volume310
Issue number13-14
DOIs
Publication statusPublished - Jul 28 2010

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Domino Tilings
Perfect Matching
Connectedness
Impurities
Octagon
Subgraph
Graph in graph theory
Vertex of a graph

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

Cite this

Local move connectedness of domino tilings with diagonal impurities. / Nakano, Fuminiko; Ono, Hirotaka; Sadahiro, Taizo.

In: Discrete Mathematics, Vol. 310, No. 13-14, 28.07.2010, p. 1918-1931.

Research output: Contribution to journalArticle

Nakano, Fuminiko ; Ono, Hirotaka ; Sadahiro, Taizo. / Local move connectedness of domino tilings with diagonal impurities. In: Discrete Mathematics. 2010 ; Vol. 310, No. 13-14. pp. 1918-1931.
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