The paper proves the edge-local inequality λ^r(G) ≤ ∑_{uv∈E(G)} [(c_G(uv)−1)/c_G(uv)] (w_{r−1}(u) + w_{r−1}(v)) for r≥2, confirming the vertex-local conjecture and determining extremal graphs.
Seneta,Non-negative Matrices and Markov Chains, Springer Series in Statistics, Springer, New York
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Local Tur\'an inequalities for walks and the spectral radius
The paper proves the edge-local inequality λ^r(G) ≤ ∑_{uv∈E(G)} [(c_G(uv)−1)/c_G(uv)] (w_{r−1}(u) + w_{r−1}(v)) for r≥2, confirming the vertex-local conjecture and determining extremal graphs.