On the characteristic polynomial of the power of a path.

Authors

  • Beatriz Malajovich Universidade Federal do Estado do Rio de Janeiro.
  • Nair Abreu Universidade Federal do Rio de Janeiro.
  • Lilian Markenzon Universidade Federal do Rio de Janeiro.

Keywords:

Power of a path, 4-cycles, Characteristic coefficients

Abstract

We determine a closed-form expression for the ?fth characteristic coe?cient of the power of a path. To arrive at this result, we establish the number of 4-cycles in the graph by means of their structural properties. The method developed might be applied to other well-structured graph classes in order to count 4-cycles or modi?ed to count cycles of di?erent length.

Author Biographies

Beatriz Malajovich, Universidade Federal do Estado do Rio de Janeiro.

CCET -DME.

Nair Abreu, Universidade Federal do Rio de Janeiro.

CT -PEP -COPPE.

Lilian Markenzon, Universidade Federal do Rio de Janeiro.

CCMN -NCE.

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Published

2017-10-20

How to Cite

[1]
B. Malajovich, N. Abreu, and L. Markenzon, “On the characteristic polynomial of the power of a path.”, Proyecciones (Antofagasta, On line), vol. 36, no. 3, pp. 529-543, Oct. 2017.

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Section

Artículos