The eternal dominating set problem for interval graphs
نویسندگان
چکیده
منابع مشابه
The Dominating Set Problem on Shiftable Interval Graphs
In this paper the problem of computing a minimum dominating set of a Shiftable Interval Graph (SIG) is studied. SIG's can be considered a generalization of interval graphs, in the sense that a SIG identifies a whole family of interval graphs. An optimization problem defined on a SIG consists in determining an interval graph of the family which optimizes the value of the chosen measure. In this ...
متن کاملOn the Dominating Set Problem in Random Graphs
In this paper, we study the Dominating Set problem in random graphs. In a random graph, each pair of vertices are joined by an edge with a probability of p, where p is a positive constant less than 1. We show that, given a random graph in n vertices, a minimum dominating set in the graph can be computed in expected 2 2 2 n) time. For the parameterized dominating set problem, we show that it can...
متن کاملThe Dominating Set Problem in Geometric Intersection Graphs
We study the parameterized complexity of dominating sets in geometric intersection graphs. In one dimension, we investigate intersection graphs induced by translates of a fixed pattern Q that consists of a finite number of intervals and a finite number of isolated points. We prove that Dominating Set on such intersection graphs is polynomially solvable whenever Q contains at least one interval,...
متن کاملEdge-Dominating Set Problem
We study the approximability of the weighted edge-dominating set problem. Although even the unweighted case is NP-Complete, in this case a solution of size at most twice the minimum can be efficiently computed due to its close relationship with minimum maximal matching; however, in the weighted case such a nice relationship is not known to exist. In this paper, after showing that weighted edge ...
متن کاملSemidefinite relaxation for dominating set
‎It is a well-known fact that finding a minimum dominating set and consequently the domination number of a general graph is an NP-complete problem‎. ‎In this paper‎, ‎we first model it as a nonlinear binary optimization problem and then extract two closely related semidefinite relaxations‎. ‎For each of these relaxations‎, ‎different rounding algorithm is exp...
متن کاملذخیره 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: Information Processing Letters
سال: 2019
ISSN: 0020-0190
DOI: 10.1016/j.ipl.2019.01.013