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math.CO2019
Meyniel Extremal Families of Abelian Cayley Graphs
Fatemeh Hasiri, Igor Shinkar
We study the game of Cops and Robbers, where cops try to capture a robber on the vertices of a graph. Meyniel's conjecture states that for every connected graph on vertices…
math.CO2019
On Mappings on the Hypercube with Small Average Stretch
Lucas Boczkowski, Igor Shinkar
Let be a set of size , and let be a bijection. We define the average stretch of as ${\sf avgStretch}(ϕ) = {\mathb…