Apr 25, 2024 · This is the first polynomial-time approximation algorithm for the problem with a nontrivial approximation guarantee.

Apr 25, 2024 · In practical engi- neering scenarios, complex graphs are more common. In this paper, we design a polynomial-time approximation algorithm for the ...

Abstract. Let $G=(V, E)$ be a graph and let each vertex of $G$ has a lamp and a button. Each button can be of $\sigma^+$-type or $\sigma$-type.

Approximation Algorithm of Minimum All-Ones Problem for Arbitrary Graphs · Chen Wang, Chao Wang, +1 author. Xiaoyan Zhang · Published in arXiv.org 25 April 2024 ...

Algorithm 1: Pick an arbitrary edge. We know any vertex cover must have at least 1 endpoint of it, so let's take both endpoints. Then, throw out all edges ...

Let $G=(V, E)$ be a graph and let each vertex of $G$ has a lamp and a button. Each button can be of $\sigma^+$-type or $\sigma$-type.

Dec 2, 2021 · Algorithm Alg for a minimization problem Min achieves an approximation factor 𝛼 ≥ 1 if for all inputs G, we have: 𝐴𝑙𝑔(G). Opt(G). ≤ 𝛼 ...

Dec 3, 2014 · 1. Identify special cases that are easy to solve: for example, the INDEPENDENT SET problem is NP-complete on arbitrary graph, but easy on trees ...

Nov 26, 2016 · A short trip to wikipedia will tell you that there is no known better approximation algorithm for vertex cover.

The minimum vertex cover—in fact, every vertex cover—contains at least one of the two vertices u and v chosen inside the while loop. It follows immediately that ...