6 citations · 7 across the 3 of their papers we have counts for
3 papers
The Tutte polynomial of some matroids
Criel Merino, Marcelino Ramírez-Ibáñez, Guadalupe Rodríguez Sanchez
The Tutte polynomial of a graph or a matroid, named after W. T. Tutte, has the important universal property that essentially any multiplicative graph or network invariant with a de…
On the structure of the h-vector of a paving matroid
Criel Merino, Steven D. Noble, Marcelino Ramírez-Ibañez +1
We give two proofs that the -vector of any paving matroid is a pure O-sequence, thus answering in the affirmative a conjecture made by R. Stanley, for this particular class of m…
Some inequalities for the Tutte polynomial
L. E. Chavez-Lomelí, C. Merino, S. D. Noble +1
We prove that the Tutte polynomial of a coloopless paving matroid is convex along the portions of the line segments x+y=p lying in the positive quadrant. Every coloopless paving ma…