3 papers
math.CO2018
Strong chromatic index of graphs with maximum degree four
Mingfang Huang, Michael Santana, Gexin Yu
A strong edge-coloring of a graph is a coloring of the edges such that every color class induces a matching in . The strong chromatic index of a graph is the minimum number…
math.CO2015
-intersection edge-coloring subcubic planar multigraphs
M. Santana
Given an edge-coloring of a simple graph, assign to every vertex a set comprised of the colors used on the edges incident to . The -intersection chromatic index of…
math.CO2015
Graphs with induced-saturation number zero
Sarah Behrens, Catherine Erbes, Michael Santana +2
Given graphs and , is -saturated if is not a subgraph of , but for all , appears as a subgraph of . While for every , t…