1 citations · 4 across the 19 of their papers we have counts for
21 papers
Tree packing and the graphic Additive Base Conjecture
Amir Jafari
Tutte's flow conjectures ask when a graph has a nowhere-zero flow with small integer values. We approach these questions through spanning-tree packing and an analytic minimization…
On union-closed families with prescribed number of -sets
Amir Jafari
Fix positive integers with . We seek the minimum number of members of size at least in a finite family of finite sets closed under union and containing exactly…
A nowhere-zero point for several linear mappings simultaneously
Amir Jafari
Let , and let be invertible matrices over . We prove that, if , there is a vector for which \[ x,A_1x,\ldots,A_{r…
The List Edge-Coloring Conjecture for New Infinite Families
Amir Jafari
The List Edge-Coloring Conjecture predicts that any graph whose edges can be colored with colors can also be colored from arbitrary lists of colors. We prove its stronger o…
Higher Schwarzians
Amir Jafari
The classical Schwarzian can be computed directly from the coefficients of a second-order linear equation. We extend this coefficient viewpoint to monic operators of arbitrary orde…
On the Frobenius Coin Problem in Three Variables
Negin Bagherpour, Amir Jafari, Amin Najafi Amin
The three-variable Frobenius coin problem asks for the largest integer that cannot be represented as a non-negative integer combination of three positive integers wit…