3 research outputs found
Polynomial Invariants for Arbitrary Rank Weakly-Colored Stranded Graphs
Polynomials on stranded graphs are higher dimensional generalization of Tutte
and Bollob\'as-Riordan polynomials [Math. Ann. 323 (2002), 81-96]. Here, we
deepen the analysis of the polynomial invariant defined on rank 3
weakly-colored stranded graphs introduced in arXiv:1301.1987. We successfully
find in dimension a modified Euler characteristic with
parameters. Using this modified invariant, we extend the rank 3 weakly-colored
graph polynomial, and its main properties, on rank 4 and then on arbitrary rank
weakly-colored stranded graphs.Comment: Basic definitions overlap with arXiv:1301.198