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math.CO2008
Degenerate and star colorings of graphs on surfaces
Bojan Mohar, Simon Spacapan
We study the degenerate, the star and the degenerate star chromatic numbers and their relation to the genus of graphs. As a tool we prove the following strengthening of a result of…
math.MG2008
Simplices and spectra of graphs
Igor Rivin
In this note we show the n-2-dimensional volumes of codimension 2 faces of an n-dimensional simplex are algebraically independent functions of the lengths of edges. In order to pro…