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- research-articleJanuary 2021
Time-free Solution to Independent Set Problem using P Systems with Active Membranes
Fundamenta Informaticae (FUNI), Volume 182, Issue 3Pages 243–255https://doi.org/10.3233/FI-2021-2072Membrane computing is a branch of natural computing aiming to abstract computing models from the structure and functioning of living cells. The computation models obtained in the field of membrane computing are usually called P systems. P systems have ...
- articleOctober 2015
On independent sets in random graphs
Random Structures & Algorithms (RSAA), Volume 47, Issue 3Pages 436–486https://doi.org/10.1002/rsa.20550The independence number of a sparse random graph Gn,m of average degree d = 2m/n is well-known to be 2-εdnlnd/dï αGn,mï 2+εdnlnd/d with high probability, with εdï 0 in the limit of large d. Moreover, a trivial greedy algorithm w.h.p. finds an ...
- research-articleJanuary 2013
An integer linear programming (ILP)-based optimization for finding the optimal independent sets in wireless ad hoc networks
ICUIMC '13: Proceedings of the 7th International Conference on Ubiquitous Information Management and CommunicationArticle No.: 99, Pages 1–5https://doi.org/10.1145/2448556.2448655In wireless ad hoc networks, one of the most important issues impacting performance is wireless interference between adjacent nodes. Such interference problem has often been approached to find independent sets in a topological graph. In general, the ...
- research-articleJune 2011
Approximation algorithms for secondary spectrum auctions
SPAA '11: Proceedings of the twenty-third annual ACM symposium on Parallelism in algorithms and architecturesPages 177–186https://doi.org/10.1145/1989493.1989520We study combinatorial auctions for the secondary spectrum market. In this market, short-term licenses shall be given to wireless nodes for communication in their local neighborhood. In contrast to the primary market, channels can be assigned to ...
- ArticleJanuary 2006
Measure and conquer: a simple O(20.288n) independent set algorithm
For more than 30 years Davis-Putnam-style exponential-time backtracking algorithms have been the most common tools used for finding exact solutions of NP-hard problems. Despite of that, the way to analyze such recursive algorithms is still far from ...
- articleOctober 2003
On easy and hard hereditary classes of graphs with respect to the independent set problem
Discrete Applied Mathematics (DAMA), Volume 132, Issue 1-3Pages 17–26https://doi.org/10.1016/S0166-218X(03)00387-1In this paper we introduce the concept of a boundary class, which is a helpful tool for classification of hereditary classes of graphs according to the complexity of the independent set problem. It is shown that in a class X defined by a finite set of ...
- articleOctober 2002
Online independent sets
Theoretical Computer Science (TCSC), Volume 289, Issue 2Pages 953–962https://doi.org/10.1016/S0304-3975(01)00411-XWe study the online version of the independent set problem in graphs. The vertices of an input graph are given one by one along with their edges to previous vertices, and the task is to decide whether to add each given vertex to an independent set ...