Displaying similar documents to “A lower bound on the independence number of a graph in terms of degrees”

Extending the MAX Algorithm for Maximum Independent Set

Ngoc C. Lê, Christoph Brause, Ingo Schiermeyer (2015)

Discussiones Mathematicae Graph Theory

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The maximum independent set problem is an NP-hard problem. In this paper, we consider Algorithm MAX, which is a polynomial time algorithm for finding a maximal independent set in a graph G. We present a set of forbidden induced subgraphs such that Algorithm MAX always results in finding a maximum independent set of G. We also describe two modifications of Algorithm MAX and sets of forbidden induced subgraphs for the new algorithms.

Generalized public transportation scheduling using max-plus algebra

Kistosil Fahim Subiono, Fahim Kistosil, Dieky Adzkiya (2018)

Kybernetika

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In this paper, we discuss the scheduling of a wide class of transportation systems. In particular, we derive an algorithm to generate a regular schedule by using max-plus algebra. Inputs of this algorithm are a graph representing the road network of public transportation systems and the number of public vehicles in each route. The graph has to be strongly connected, which means there is a path from any vertex to every vertex. Let us remark that the algorithm is general in the sense that...

A modified algorithm for the strict feasibility problem

D. Benterki, B. Merikhi (2010)

RAIRO - Operations Research

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In this note, we present a slight modification of an algorithm for the strict feasibility problem. This modification reduces the number of iterations.