Statistical mechanics of the directed 2-distance minimal dominating set problem
نویسندگان
چکیده
منابع مشابه
Statistical Mechanics of the Minimum Dominating Set Problem
The minimum dominating set problem has wide applications in network science and related fields. It consists of assembling a node set of global minimum size such that any node of the network is either in this set or is adjacent to at least one node of this set. Although this is a difficult optimization problem in general, we show it can be exactly solved by a generalized leaf-removal process if ...
متن کاملMinimal Dominating Set Enumeration
Let G be a graph on n vertices and m edges. An edge is written xy (equivalently yx). A dominating set in G is a set of vertices D such that every vertex of G is either in D or is adjacent to some vertex of D. It is said to be minimal if it does not contain any other dominating set as a proper subset. For every vertex x let N [x] be {x} ∪ {y | xy ∈ E}, and for every S ⊆ V let N [S] := ⋃ x∈S N [x...
متن کاملA Linear-Time Self-Stabilizing Algorithm for the Minimal 2-Dominating Set Problem in General Networks
Kamei and Kakugawa have recently proposed a self-stabilizing algorithm for the minimal k-dominating set problem. Their algorithm is a general form of the maximalindependent-set algorithm proposed by Shukla et al. The results in their paper are for any tree network that assumes Dijkstra’s central demon model. In particular, the worstcase stabilization time is claimed to be O(n), where n is the n...
متن کاملA Self-Stabilizing Algorithm for Finding a Minimal Distance-2 Dominating Set in Distributed Systems
The study of various dominating set problems is an important area within graph theory. In applications, a dominating set in a system can be considered as an ideal place for allocating resources. And, a minimal dominating set allows allocating a smaller number of resources. Distance-versions of the concept of minimal dominating sets are more applicable to modeling real-world problems, such as pl...
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 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: Communications in Theoretical Physics
سال: 2020
ISSN: 0253-6102,1572-9494
DOI: 10.1088/1572-9494/aba249