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Classification of certain subgraphs of the 3‐dimensional grid
Author(s) -
Haugland Jan Kristian
Publication year - 2003
Publication title -
journal of graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 54
eISSN - 1097-0118
pISSN - 0364-9024
DOI - 10.1002/jgt.10071
Subject(s) - mathematics , combinatorics , grid , isometry (riemannian geometry) , graph , square tiling , girth (graph theory) , discrete mathematics , pure mathematics , geometry
We prove by “trial‐ and‐error” that up to isometry, there are exactly four different non‐empty cubic induced subgraphs of the 3‐dimensional grid with girth ≥ 10. © 2002 Wiley Periodicals, Inc. J Graph Theory 42: 34–60, 2003
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