Title of article :
the tutte polynomial of matroids constructed by a family of splitting operations
Author/Authors :
kazemzade, morteza urmia university - department of mathematics, urmia, iran , azanchiler, habib urmia university - department of mathematics, urmia, iran , ghorbani, vahid urmia university - department of mathematics, urmia, iran
Abstract :
to extract some more information from the constructions of matroids that arise from new operations, computing the tutte polynomial, plays an important role. in this paper, we consider applying three operations of splitting, element splitting and splitting off to a binary matroid and then introduce the tutte polynomial of resulting matroids by these operations in terms of that of original matroids.
Keywords :
tutte polynomial , splitting , splitting off , element splitting
Journal title :
Communications in Combinatorics and Optimization
Journal title :
Communications in Combinatorics and Optimization
