Omega and related polynomials of polyomino chains of 4 k-cycles

Authors

  • MEHDI ALAEIYAN Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16844 IRAN
  • ALIREZA GILANI Department of Mathematics, Faculty of Science, Islamic Azad University- South Tehran Branch, Tehran, Iran.
  • RASOUL MOJARAD Department of Science, Islamic Azad University, Bushehr Branch, Bushehr, IRAN
  • JAFAR ASADPOUR Islamic Azad University, Miyaneh Branch, Miyaneh, IRAN

Keywords:

Omega polynomial, sadhana polynomial, PI polynomial, strips, polyomino chain

Abstract

Omega polynomial of a graph G is defined, on the ground of "opposite edge strips" ops:   where  is the number of ops strips of length  . The Sadhana polynomial  can also be calculated by ops counting. In this paper we compute these polynomials for polyomino chains of 4 -cycles. Also by using Omega polynomial we can compute the (edge) PI  polynomial for this graph.

References

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Published

07-01-2014

Issue

Vol. 41 No. 1 (2014): Kuwait Journal of Science (KJS)

Section

Mathematics