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Omega and related counting polynomials

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CONTRIBUTORS:
  Author Mircea V. DIUDEA
  Author Simona CIGHER
  Author Peter E. JOHN
JOURNAL:
  Match, 60(1), 237 - 250.
YEAR: 2008
PUB TYPE: Journal Article
SUBJECT(S): chemistry - mathematical
DISCIPLINE: Mathematics
HTTP: http://lori.academicdirect.org/cites/69.pdf
LANGUAGE: English
PUB ID: 103-444-343 (Last edited on 2008/08/01 04:12:02 GMT-6)
SPONSOR(S):
 
ABSTRACT:
Counting polynomials are those polynomials having at exponent the extent of a property partition and coefficients the multiplicity/occurrence of the corresponding partition. In the present paper three related counting polynomials are discussed: Omega ù, Equidistance È and Non-Equidistance Ð polynomials, and their mutual inter-relations in some particular graphs and lattices, as well. Analytical close formulas for some cubic lattices and their corresponding cages are derived.
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