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Parameterized codes associated to the edges of some subgraphs of a simple graph

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Abstract

In this paper we establish bounds for the main parameters of parameterized codes associated to the edges of a simple graph \(\mathcal {G}\) by using the relationships among these parameters and the corresponding ones of the parameterized codes associated to the edges of any subgraph of \(\mathcal {G}\). These inequalities are used to find bounds in the case of complete r-partite graphs.

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Authors and Affiliations

  1. Departamento de Ciencias Básicas, Instituto Politécnico Nacional, UPIITA, Av. IPN No. 2580, Col. La Laguna Ticomán, Gustavo A. Madero, C.P. 07340, Mexico, D.F., Mexico

    Manuel González Sarabia

  2. Departamento de Matemáticas, Instituto Politécnico Nacional, ESFM, C.P. 07300, Mexico, D.F., Mexico

    Eliseo Sarmiento Rosales

Authors
  1. Manuel González Sarabia
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  2. Eliseo Sarmiento Rosales
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Corresponding author

Correspondence to Manuel González Sarabia.

Additional information

The first author is partially supported by COFAA–IPN and SNI–SEP. The second author is partially supported by SNI–SEP.

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Sarabia, M.G., Rosales, E.S. Parameterized codes associated to the edges of some subgraphs of a simple graph. AAECC 26, 493–505 (2015). https://doi.org/10.1007/s00200-015-0262-7

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  • DOI: https://doi.org/10.1007/s00200-015-0262-7

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