Maximum bounded 3-dimensional matching is MAX SNP-complete
Information Processing Letters
Proof verification and the hardness of approximation problems
Journal of the ACM (JACM)
Discrete Mathematics
Approximation algorithms
Mining the network value of customers
Proceedings of the seventh ACM SIGKDD international conference on Knowledge discovery and data mining
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Measure and conquer: a simple O(20.288n) independent set algorithm
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
Solving Connected Dominating Set Faster than 2 n
Algorithmica - Parameterized and Exact Algorithms
Combinatorial bounds via measure and conquer: Bounding minimal dominating sets and applications
ACM Transactions on Algorithms (TALG)
Efficiency in exponential time for domination-type problems
Discrete Applied Mathematics
A measure & conquer approach for the analysis of exact algorithms
Journal of the ACM (JACM)
TAMC '09 Proceedings of the 6th Annual Conference on Theory and Applications of Models of Computation
An approximation algorithm for maximum triangle packing
Discrete Applied Mathematics
A tighter bound for counting max-weight solutions to 2SAT instances
IWPEC'08 Proceedings of the 3rd international conference on Parameterized and exact computation
Exact Exponential Algorithms
Breaking the 2n-barrier for Irredundance: Two lines of attack
Journal of Discrete Algorithms
Exact algorithms for dominating set
Discrete Applied Mathematics
An exact algorithm for the Maximum Leaf Spanning Tree problem
Theoretical Computer Science
Nonblocker: parameterized algorithmics for minimum dominating set
SOFSEM'06 Proceedings of the 32nd conference on Current Trends in Theory and Practice of Computer Science
Fast Algorithms for max independent set
Algorithmica
Complexity and Approximation: Combinatorial Optimization Problems and Their Approximability Properties
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We are studying computational complexity aspects of the differential of a graph, a graph parameter previously introduced to model ways of influencing a network. We obtain NP hardness results also for very special graph classes, such as split graphs and cubic graphs. This motivates to further classify this problem in terms of approximability. Here, one of our results shows MAXSNP completeness for the corresponding maximization problem on subcubic graphs. Moreover, we also provide a Measure & Conquer analysis for an exact moderately exponential-time algorithm that computes that graph parameter in time O(1.755^n) on a graph of order n.