J. Kung

activity

20062021

most citedThe

G

-invariant and catenary data of a matroid

10 citations · 21 across the 14 of their papers we have counts for

collaborators

14 papers

math.CO2021★ 1 cited

Inconsequential results on the Merino-Welsh conjecture for Tutte polynomials

Joseph P. S. Kung

The Merino-Welsh conjectures say that subject to conditions, there is an inequality among the Tutte-polynomial evaluations $T (M; 2, 0)$ , $T (M; 0, 2)$ , and $T (M; 1, 1)$ . We present three…

math.CO2021

The $γ ˉ$ -frame for Tutte polynomials of matroids

Joseph P. S. Kung

Specializing the $γ$ -basis for the vector space $G (n, r)$ spanned by the set of symbols on bit sequences with $r$ $1$ 's and $n - r$ $0$ 's, we obtain a frame or spanning set…

math.CO2017

Algebra and valuations related to the Tutte polynomial

Michael J. Falk, Joseph P. S. Kung

This is a chapter destined for the book "Handbook of the Tutte Polynomial". The chapter is a composite. The first part is a brief introduction to Orlik-Solomon algebras. The second…

math.CO2015★ 10 cited

The $G$ -invariant and catenary data of a matroid

Joseph E. Bonin, Joseph P. S. Kung

The catenary data of a matroid $M$ of rank $r$ on $n$ elements is the vector $(ν (M; a_{0}, a_{1}, \dots, a_{r}))$ , indexed by compositions $(a_{0}, a_{1}, \dots, a_{r})$ , where $a_{0} \geq 0$ ,\, $a_i…

math.CO2015

Syzygies on Tutte polynomials of freedom matroids

Joseph Kung

We give a generating set for linear relations on Tutte polynomials of rank- $r$ size- $n$ freedom matroids.

math.CO2013

Maximum size binary matroids with no AG(3,2)-minor are graphic

Joseph P. S. Kung, Dillon Mayhew, Irene Pivotto +1

We prove that the maximum size of a simple binary matroid of rank $r \geq 5$ with no AG(3,2)-minor is $(2 r + 1)$ and characterise those matroids achieving this bound. When $r…