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Finding Cycles In The Kth Power Diagraphs Over Integers Modulo A Prime And Over Gaussian Integers Modulo a Gaussian Prime (thesis)
Given Zp where p is an integer prime, let's de ne G(k) p to be the digraph whose set of vertices is Zp such that there is a directed edge from a vertex a to a vertex b if ak b mod p. First, we nd our own way to decide ...
Permutation Formula (thesis)
Runs in permutations and similar topics have been studied by various authors under different names. Hegarty examined permutations of finite abelian groups which avoid what he called progressions. Riordan studied 3-runs ...