Showing 2020 · math.COShow all
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math.CO2020
Hadwiger meets Cayley
Jacob W. Cooper, Adam Kabela, Daniel Král' +1
We show that every connected -chromatic graph contains at least spanning trees.
math.CO2020
Coloring graphs by translates in the circle
Pablo Candela, Carlos Catala, Robert Hancock +4
The fractional and circular chromatic numbers are the two most studied non-integral refinements of the chromatic number of a graph. Starting from the definition of a coloring base…
math.CO2020
Trestles in the squares of graphs
Adam Kabela, Jakub Teska
We show that the square of every connected -free graph satisfying a matching condition has a -connected spanning subgraph of maximum degree at most~. Furthermore,…