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math.CO2026
Maximizing the algebraic connectivity of graphs of given order and size: a proof of a conjecture of Kolokolnikov
Sebastian M. Cioabă, Abhay Jayarajan, M. Rajesh Kannan +1
The algebraic connectivity of a graph is a well-studied graph invariant that is related to other properties of the graph such as connectivity and expansion. Given and ,…
math.CO2026
On the homology groups of clique complexes of strongly regular graphs
Sebastian M. Cioabă, Mutasim Mim
For a graph and a field the first clique-homology vanishes precisely when the cycle space of over is generated by…