Minimum Dominating Sets in Scale-Free Network Ensembles
نویسندگان
چکیده
منابع مشابه
Minimum Dominating Sets in Scale-Free Network Ensembles
We study the scaling behavior of the size of minimum dominating set (MDS) in scale-free networks, with respect to network size N and power-law exponent c, while keeping the average degree fixed. We study ensembles generated by three different network construction methods, and we use a greedy algorithm to approximate theMDS.With a structural cutoff imposed on themaximal degree kmax~ ffiffiffiffi...
متن کاملDomination number and minimum dominating sets in pseudofractal scale-free web and Sierpiński graph
The minimum dominating set (MDS) problem is a fundamental subject of theoretical computer science, and has found vast applications in different areas, including sensor networks, protein interaction networks, and structural controllability. However, the determination of the size of a MDS and the number of all MDSs in a general network is NP-hard, and it thus makes sense to seek particular graphs...
متن کاملCounting Minimum Weighted Dominating Sets
We show how to count all minimumweighted dominating sets of a graph on n vertices in timeO(1.5535).
متن کاملTwo Minimum Dominating Sets with Minimum Intersection in Chordal Graphs
We prove that the problem of nding two minimum dominating sets (connected dominating sets or vertex clique covers) with minimum intersection is linearly solvable in interval graphs. Furthermore, the problem of deciding whether or not there exist two disjoint minimum dominating sets (connected dominating sets or vertex clique covers) is shown to be NP-hard for chordal graphs.
متن کاملBlock graphs with unique minimum dominating sets
For any graph G a set D of vertices of G is a dominating set, if every vertex v∈V (G)− D has at least one neighbor in D. The domination number (G) is the smallest number of vertices in any dominating set. In this paper, a characterization is given for block graphs having a unique minimum dominating set. With this result, we generalize a theorem of Gunther, Hartnell, Markus and Rall for trees. c...
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: Scientific Reports
سال: 2013
ISSN: 2045-2322
DOI: 10.1038/srep01736