Jan 31, 2020 · Abstract:We study the approximability of the maximum size independent set (MIS) problem in bounded degree graphs.

Sep 12, 2024 · We obtain the ultimate approximation ratio of 5/4 for greedy algorithms on graphs with maximum degree 3, which completely solves an open problem.

There exists an advised greedy algorithm, called MoreEdges that has an approximation ratio 3/2 = 1.5. Our main result. There exists an advised greedy algorithm, ...

Abstract. We study the approximability of the maximum size independent set (MIS) problem in bounded degree graphs. This is one of the most classic and ...

Feb 15, 2023 · This algorithm iteratively chooses a minimum degree vertex in the graph, adds it to the solution and removes its neighbors, until the remaining.

Here we will explain intuitions about our proof of the 5/4- approximation ratio of the greedy algorithms on subcu- bic graphs, which uses our full technical ...

Sep 11, 2024 · With this new theory we obtain the ultimate approximation ratio of 5/4 for greedy on graphs with maximum degree 3, which completely solves the ...

Ultimate Greedy Approximation of Independent Sets in Subcubic Graphs ; Article · 4901 Applied Mathematics, 4904 Pure Mathematics, 49 Mathematical Sciences.

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Bibliographic details on Ultimate greedy approximation of independent sets in subcubic graphs.