Edmonds, Paths, trees, and flowers,Canadian Journal of Mathematics, 17 (1965) 449–467

· 1965

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math.CO · 2026-07-08 · accept · novelty 7.0

The inequality ε_k(G) ≤ kν(G) holds for all graphs in the range 1≤k≤n(G)−2, resolving Lew's conjecture, with all equality cases characterized.

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A Matching-Number Refinement of Brouwer's Laplacian Eigenvalue Inequality math.CO · 2026-07-08 · accept · none · ref 6
The inequality ε_k(G) ≤ kν(G) holds for all graphs in the range 1≤k≤n(G)−2, resolving Lew's conjecture, with all equality cases characterized.