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connected graph

A new lower bound on the independence number of a graph

Published: 2009/12/04
  • Omar Kettani
  • Categories Graphs and Matroids Tags connected graph, independence number, min algorithm

    For a given connected graph G on n vertices and m edges, we prove that its independence number α(G) is at least ((2m+n+2) -sqrt(sqr(2m+n+2)-16sqr(n)))/8. Article Download View A new lower bound on the independence number of a graph

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    alternating direction method of multipliers approximation algorithms augmented lagrangian method bilevel optimization Branch-and-Bound branch-and-cut chance constraints column generation combinatorial optimization complexity compressed sensing conic optimization convex optimization cutting planes decomposition derivative-free optimization distributionally robust optimization duality dynamic programming first-order methods global convergence global optimization heuristics integer programming interior point methods large-scale optimization linear programming machine learning mixed-integer linear programming mixed-integer nonlinear programming mixed-integer programming nonconvex optimization nonlinear optimization nonlinear programming nonsmooth optimization optimal control optimization proximal point algorithm quadratic programming robust optimization semidefinite programming stochastic optimization stochastic programming trust-region methods unconstrained optimization

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