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math.CO2022
The -Rank and Size of Graphs
Gal Beniamini, Asaf Etgar, Yael Kirkpatrick
We consider the extremal family of graphs of order in which no two vertices have identical neighbourhoods, yet the adjacency matrix has rank only over the field of two el…
cs.DM2022★ 1 cited
Algebraic Representations of Unique Bipartite Perfect Matching
Gal Beniamini
We obtain complete characterizations of the Unique Bipartite Perfect Matching function, and of its Boolean dual, using multilinear polynomials over the reals. Building on previous…