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Fibonacci Polynomials and Parity Domination in Grid Graphs

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Abstract.

 A non-empty set of vertices is called an even dominating set if each vertex in the graph is adjacent to an even number of vertices in the set (adjacency is reflexive). In this paper, the Fibonacci polynomials are studied over GF(2) with particular emphasis on their divisibility properties and their relation to the existence of even dominating sets in grid graphs and properties of a corresponding recurrence.

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Authors and Affiliations

  1. West Virginia University, Morgantown, WV 26506, USA e-mail: jgoldwas@math.wvu.edu, , , , , , US

    John Goldwasser

  2. West Virginia University, Morgantown, WV 26506, USA e-mail: wfk@cs.wvu.edu, , , , , , US

    William Klostermeyer

  3. West Virginia University, Morgantown, WV 26506, USA e-mail: hware@cs.wvu.edu, , , , , , US

    Henry Ware

Authors
  1. John Goldwasser
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  2. William Klostermeyer
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  3. Henry Ware
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Received: March 15, 1999 Final version received: November 8, 1999

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Goldwasser, J., Klostermeyer, W. & Ware, H. Fibonacci Polynomials and Parity Domination in Grid Graphs. Graphs Comb 18, 271–283 (2002). https://doi.org/10.1007/s003730200020

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  • DOI: https://doi.org/10.1007/s003730200020

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