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20062026
most citedSpectral radius of finite and infinite planar graphs and of graphs of bounded genus

31 citations · 298 across the 114 of their papers we have counts for

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Showing 2014 · math.COShow all

6 papers · 2 filters

math.CO2014

Interval minors of complete bipartite graphs

Bojan Mohar, Arash Rafiey, Behruz Tayfeh-Rezaie +1

Interval minors of bipartite graphs were recently introduced by Jacob Fox in the study of Stanley-Wilf limits. We investigate the maximum number of edges in -interval mino…

math.CO2014

Cascades and Obstructions of Low Connectivity for Embedding Graphs into the Klein Bottle

Bojan Mohar, Petr Škoda

The structure of graphs with a 2-vertex-cut that are critical with respect to the Euler genus is studied. A general theorem describing the building blocks is presented. These const…

math.CO2014

Crossing numbers of periodic graphs

Zdenek Dvorak, Bojan Mohar

A graph is periodic if it can be obtained by joining identical pieces in a cyclic fashion. It is shown that the limit crossing number of a periodic graph is computable. This answer…

math.CO2014

Planar digraphs of digirth five are 2-colorable

Ararat Harutyunyan, Bojan Mohar

Neumann-Lara (1985) and Škrekovski conjectured that every planar digraph with digirth at least three is 2-colorable. We prove a relaxed version of this conjecture: every planar dig…

math.CO2014

Homological face-width condition forcing -minors in graphs on surfaces

Roi Krakovski, Bojan Mohar

It is proved that every graph embedded on a (non-spherical) surface with non-separating face-width at least contains a minor isomorphic to . It is also shown that face-wid…

math.CO2014

Median eigenvalues and the HOMO-LUMO index of graphs

Bojan Mohar

Motivated by the problem about HOMO-LUMO separation that arises in mathematical chemistry, Fowler and Pisanski introduced the notion of the HL-index which measures how large in abs…