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  1. Home > Articles & Issues >
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  3. Equivalent Subgraphs ...
Conference paper

Equivalent Subgraphs of Order $3$

Tomoki Nakamigawa (1)
(1) Department of Information Science
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Imported on
May 10, 2017
Published on
December 31, 2004
Last modified on
March 31, 2025
Volume 0
DMTCS Proceedings vol. AE, European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Proceedings
DOI
10.46298/dmtcs.3460
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https://about.hal.science/hal-authorisation-v1
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Equivalent Subgraphs of Order $3$

Tomoki Nakamigawa (1)
(1) Department of Information Science
Abstract
It is proved that any graph of order $14n/3 + O(1)$ contains a family of n induced subgraphs of order $3$ such that they are vertex-disjoint and equivalent to each other.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
  • graph Ramsey theory
  • graph decomposition
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