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math.CO2026
Positive Lin-Lu-Yau curvature, planar graphs, and forbidden minors
Louis Esperet, Julie Semaan
Over the past few decades, several notions of graph curvature have been introduced. Among them, Ollivier curvature, defined through optimal transport, and its Lin--Lu--Yau variant…
math.CO2026
Cops and robber in graphs with bounded vertex cover number
Prosenjit Bose, Louis Esperet, Jędrzej Hodor +3
Meyniel's conjecture states that -vertex connected graphs have cop number . The current best known upper bound is , proved independentl…