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math.CO2015
Edge reconstruction of the Ihara zeta function
Gunther Cornelissen, Janne Kool
We show that if a graph has average degree , then the Ihara zeta function of is edge-reconstructible. We prove some general spectral properties of the edge a…
math.NT2015
Explicit construction of Ramanujan bigraphs
Cristina Ballantine, Brooke Feigon, Radhika Ganapathy +3
We construct explicitly an infinite family of Ramanujan graphs which are bipartite and biregular. Our construction starts with the Bruhat-Tits building of an inner form of $SU_3(\m…