An O(20.304n) Algorithm for Solving Maximum Independent Set Problem
IEEE Transactions on Computers
Finding maximum independent sets in sparse and general graphs
Proceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms
Vertex cover: further observations and further improvements
Journal of Algorithms
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
A deterministic (2 - 2/(k+ 1))n algorithm for k-SAT based on local search
Theoretical Computer Science
A Probabilistic Algorithm for k-SAT and Constraint Satisfaction Problems
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Exact algorithms for NP-hard problems: a survey
Combinatorial optimization - Eureka, you shrink!
Improved upper bounds for 3-SAT
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
Quasiconvex analysis of backtracking algorithms
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
Journal of Algorithms
Measure and conquer: domination – a case study
ICALP'05 Proceedings of the 32nd international conference on Automata, Languages and Programming
Enumerating maximal independent sets with applications to graph colouring
Operations Research Letters
Graph-Based Procedural Abstraction
Proceedings of the International Symposium on Code Generation and Optimization
Improved fixed parameter tractable algorithms for two “edge” problems: MAXCUT and MAXDAG
Information Processing Letters
Finding a dominating set on bipartite graphs
Information Processing Letters
Exact and approximate link scheduling algorithms under the physical interference model
Proceedings of the fifth international workshop on Foundations of mobile computing
Iterative Compression and Exact Algorithms
MFCS '08 Proceedings of the 33rd international symposium on Mathematical Foundations of Computer Science
Faster Steiner Tree Computation in Polynomial-Space
ESA '08 Proceedings of the 16th annual European symposium on Algorithms
Combinatorial bounds via measure and conquer: Bounding minimal dominating sets and applications
ACM Transactions on Algorithms (TALG)
ACM SIGACT News
Efficient algorithms for clique problems
Information Processing Letters
A heuristic approach for the max-min diversity problem based on max-clique
Computers and Operations Research
On Independent Sets and Bicliques in Graphs
Graph-Theoretic Concepts in Computer Science
A measure & conquer approach for the analysis of exact algorithms
Journal of the ACM (JACM)
Computing branchwidth via efficient triangulations and blocks
Discrete Applied Mathematics
TAMC '09 Proceedings of the 6th Annual Conference on Theory and Applications of Models of Computation
Approximation of min coloring by moderately exponential algorithms
Information Processing Letters
Exponential-time approximation of weighted set cover
Information Processing Letters
Isolation concepts for efficiently enumerating dense subgraphs
Theoretical Computer Science
Improved edge-coloring with three colors
Theoretical Computer Science
Polynomial constraint satisfaction problems, graph bisection, and the Ising partition function
ACM Transactions on Algorithms (TALG)
Convex Recoloring Revisited: Complexity and Exact Algorithms
COCOON '09 Proceedings of the 15th Annual International Conference on Computing and Combinatorics
An Improved SAT Algorithm in Terms of Formula Length
WADS '09 Proceedings of the 11th International Symposium on Algorithms and Data Structures
Polynomial-time solvability of the maximum clique problem
ECC'09 Proceedings of the 3rd international conference on European computing conference
An exact algorithm for subgraph homeomorphism
Journal of Discrete Algorithms
Exact Algorithms for Dominating Clique Problems
ISAAC '09 Proceedings of the 20th International Symposium on Algorithms and Computation
Iterative compression and exact algorithms
Theoretical Computer Science
Note: On maximum independent sets in P5-free graphs
Discrete Applied Mathematics
On exact complexity of subgraph homeomorphism
TAMC'07 Proceedings of the 4th international conference on Theory and applications of models of computation
The buffered work-pool approach for search-tree based optimization algorithms
PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics
A moderately exponential time algorithm for full degree spanning tree
TAMC'08 Proceedings of the 5th international conference on Theory and applications of models of computation
On the complexity of circuit satisfiability
Proceedings of the forty-second ACM symposium on Theory of computing
A hybrid graph representation for recursive backtracking algorithms
FAW'10 Proceedings of the 4th international conference on Frontiers in algorithmics
A note on vertex cover in graphs with maximum degree 3
COCOON'10 Proceedings of the 16th annual international conference on Computing and combinatorics
Exact and parameterized algorithms for edge dominating set in 3-degree graphs
COCOA'10 Proceedings of the 4th international conference on Combinatorial optimization and applications - Volume Part II
GreedyMAX-type algorithms for the maximum independent set problem
SOFSEM'11 Proceedings of the 37th international conference on Current trends in theory and practice of computer science
Further improvement on maximum independent set in degree-4 graphs
COCOA'11 Proceedings of the 5th international conference on Combinatorial optimization and applications
Algorithms and constraint programming
CP'06 Proceedings of the 12th international conference on Principles and Practice of Constraint Programming
A branch-and-reduce algorithm for finding a minimum independent dominating set in graphs
WG'06 Proceedings of the 32nd international conference on Graph-Theoretic Concepts in Computer Science
Improved edge-coloring with three colors
WG'06 Proceedings of the 32nd international conference on Graph-Theoretic Concepts in Computer Science
Fast exponential algorithms for maximum γ-regular induced subgraph problems
FSTTCS'06 Proceedings of the 26th international conference on Foundations of Software Technology and Theoretical Computer Science
Solving connected dominating set faster than 2n
FSTTCS'06 Proceedings of the 26th international conference on Foundations of Software Technology and Theoretical Computer Science
Kernels for the vertex cover problem on the preferred attachment model
WEA'06 Proceedings of the 5th international conference on Experimental Algorithms
Finding a minimum feedback vertex set in time O(1.7548n)
IWPEC'06 Proceedings of the Second international conference on Parameterized and Exact Computation
Exact algorithms for finding the minimum independent dominating set in graphs
ISAAC'06 Proceedings of the 17th international conference on Algorithms and Computation
A simple and fast algorithm for maximum independent set in 3-degree graphs
WALCOM'10 Proceedings of the 4th international conference on Algorithms and Computation
The leakage-resilience limit of a computational problem is equal to its unpredictability entropy
ASIACRYPT'11 Proceedings of the 17th international conference on The Theory and Application of Cryptology and Information Security
Theoretical Computer Science
A novel parameterised approximation algorithm for minimum vertex cover
Theoretical Computer Science
Computing the differential of a graph: Hardness, approximability and exact algorithms
Discrete Applied Mathematics
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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 producing tight worst case running time bounds.The "Measure and Conquer" approach is one of the recent attempts to step beyond such limitations. The approach is based on the choice of the measure of the subproblems recursively generated by the algorithm considered; this measure is used to lower bound the progress made by the algorithm at each branching step. A good choice of the measure can lead to a significantly better worst case time analysis.In this paper we apply "Measure and Conquer" to the analysis of a very simple backtracking algorithm solving the well-studied maximum independent set problem. The result of the analysis is striking: the running time of the algorithm is O(20.288n), which is competitive with the current best time bounds obtained with far more complicated algorithms (and naive analysis).Our example shows that a good choice of the measure, made in the very first stages of exact algorithms design, can have a tremendous impact on the running time bounds achievable.