Graph-Based Algorithms for Boolean Function Manipulation
IEEE Transactions on Computers
An introduction to parallel algorithms
An introduction to parallel algorithms
Sublinear-time parallel algorithms for matching and related problems
Journal of Algorithms
An optimal parallel algorithm for maximal matching
Information Processing Letters
Branching programs and binary decision diagrams: theory and applications
Branching programs and binary decision diagrams: theory and applications
A Symbolic Algorithms for Maximum Flow in 0-1 Networks
Formal Methods in System Design
Computing strongly connected components in a linear number of symbolic steps
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
Exponential space complexity for OBDD-based reachability analysis
Information Processing Letters
Exponential space complexity for symbolic maximum flow algorithms in 0-1 networks
MFCS'10 Proceedings of the 35th international conference on Mathematical foundations of computer science
On symbolic OBDD-based algorithms for the minimum spanning tree problem
COCOA'10 Proceedings of the 4th international conference on Combinatorial optimization and applications - Volume Part II
The complexity of problems on implicitly represented inputs
SOFSEM'06 Proceedings of the 32nd conference on Current Trends in Theory and Practice of Computer Science
Implicit computation of maximum bipartite matchings by sublinear functional operations
TAMC'12 Proceedings of the 9th Annual international conference on Theory and Applications of Models of Computation
Priority functions for the approximation of the metric TSP
Information Processing Letters
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The maximal matching problem, i.e., the computation of a matching that is not a proper subset of another matching, is a fundamental optimization problem and algorithms for maximal matchings have been used as submodules for problems like maximal node-disjoint paths or maximum flow. Since in some applications graphs become larger and larger, a research branch has emerged which is concerned with the design and analysis of implicit algorithms for classical graph problems. Input graphs are given as characteristic Boolean functions of their edge sets and problems have to be solved by functional operations. As OBDDs, which are closely related to deterministic finite automata, are a well-known data structure for Boolean functions, OBDD-based algorithms are used as a heuristic approach to handle very large graphs. Here, an implicit OBDD-based maximal matching algorithm is presented that uses only a polylogarithmic number of functional operations with respect to the number of vertices of the input graph.