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math.GR2015
On the chromatic number of structured Cayley graphs
Mohammad Bardestani, Keivan Mallahi-Karai
In this paper, we will study the chromatic number of Cayley graphs of algebraic groups that arise from algebraic constructions. Using Lang-Weil bound and representation theory of f…
math.CO2015
On a generalization of the Hadwiger-Nelson problem
Mohammad Bardestani, Keivan Mallahi-Karai
For a field and a quadratic form defined on an -dimensional vector space over , let , called the quadratic graph associated to , be the graph wi…
math.RT2015
Minimal dimension of faithful representations for -groups
Mohammad Bardestani, Keivan Mallahi-Karai, Hadi Salmasian
For a group , we denote by , the smallest dimension of a faithful complex representation of . Let be a non-Archimedean local field with the ring of integ…