13 citations · 52 across the 53 of their papers we have counts for
Showing 2021 · math.COShow all
2 papers · 2 filters
math.CO2021
Variants of the Gyàrfàs-Sumner Conjecture: Oriented Trees and Rainbow Paths
Manu Basavaraju, L. Sunil Chandran, Mathew C. Francis +1
Given a finite family of graphs, we say that a graph is "-free" if does not contain any graph in as a subgraph. A vertex-colored gr…
math.CO2021
Weakening Total Coloring Conjecture: Weak TCC and Hadwiger's Conjecture on Total Graphs
Manu Basavaraju, L. Sunil Chandran, Mathew C. Francis +1
Hadwiger's conjecture is one of the most important and long-standing conjectures in graph theory. Reed and Seymour showed in 2004 that Hadwiger's conjecture is true for line graphs…