On independent set in B1-EPG graphs

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Independent Set on B1-EPG Graphs

In this paper we consider the Maximum Independent Set problem (MIS) on B1-EPG graphs. EPG (for Edge intersection graphs of Paths on a Grid) was introduced in [9] as the class of graphs whose vertices can be represented as simple paths on a rectangular grid so that two vertices are adjacent if and only if the corresponding paths share at least one edge of the underlying grid. The restricted clas...

متن کامل

Clique coloring B1-EPG graphs

We consider the problem of clique coloring, that is, coloring the vertices of a given graph such that no (maximal) clique of size at least two is monocolored. It is known that interval graphs are 2-clique colorable. In this paper we prove that B1-EPG graphs (edge intersection graphs of paths on a grid, where each path has at most one bend) are 4-clique colorable. Moreover, given a B1-EPG repres...

متن کامل

Approximation Algorithms for Independence and Domination on B1-VPG and B1-EPG Graphs

A graph G is called Bk-VPG (resp., Bk-EPG), for some constant k ≥ 0, if it has a string representation on a grid such that each vertex is an orthogonal path with at most k bends and two vertices are adjacent in G if and only if the corresponding strings intersect (resp., the corresponding strings share at least one grid edge). If two adjacent strings of a Bk-VPG graph intersect exactly once, th...

متن کامل

Independent domination in directed graphs

In this paper we initialize the study of independent domination in directed graphs. We show that an independent dominating set of an orientation of a graph is also an independent dominating set of the underlying graph, but that the converse is not true in general. We then prove existence and uniqueness theorems for several classes of digraphs including orientations of complete graphs, paths, tr...

متن کامل

Approximating independent set in perturbed graphs

For the maximum independent set problem, strong inapproximability bounds for worst-case efficient algorithms exist. We give a deterministic algorithm beating these bounds, with polynomial expected running-time for semi-random graphs: An adversary chooses a graph with n vertices, and then edges are flipped with a probability of ε. Our algorithm guarantees an approximation ratio of O( √ nε) for s...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2020

ISSN: 0166-218X

DOI: 10.1016/j.dam.2019.10.019