Succinct representations of graphs
Information and Control
Graph-Based Algorithms for Boolean Function Manipulation
IEEE Transactions on Computers
A note on succinct representations of graphs
Information and Control
Constructing a perfect matching is in random NC
Combinatorica
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
Complexity of Problems on Graphs Represented as OBDDs (Extended Abstract)
STACS '98 Proceedings of the 15th Annual Symposium on Theoretical Aspects of Computer Science
The Complexity of Graph Problems fore Succinctly Represented Graphs
WG '89 Proceedings of the 15th International Workshop on Graph-Theoretic Concepts in Computer Science
Symbolic OBDD-Based Reachability Analysis Needs Exponential Space
SOFSEM '10 Proceedings of the 36th Conference on Current Trends in Theory and Practice of Computer Science
On the OBDD complexity of the most significant bit of integer multiplication
TAMC'08 Proceedings of the 5th international conference on Theory and applications of models of computation
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
Lower bounds on the OBDD size of graphs of some popular functions
SOFSEM'05 Proceedings of the 31st international conference on Theory and Practice of Computer Science
Exponential lower bounds on the space complexity of OBDD-Based graph algorithms
LATIN'06 Proceedings of the 7th Latin American conference on Theoretical Informatics
Parameterized Complexity
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
An efficient implicit OBDD-Based algorithm for maximal matchings
LATA'12 Proceedings of the 6th international conference on Language and Automata Theory and Applications
On symbolic OBDD-based algorithms for the minimum spanning tree problem
Theoretical 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
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The maximum flow problem is a central problem in graph algorithms and optimization and OBDDs are one of the most common dynamic data structures for Boolean functions. Since in some applications graphs become larger and larger, a research branch has emerged which is concerned with the theoretical design and analysis of symbolic algorithms for classical graph problems on OBDD-represented graph instances. The algorithm for the maximum flow problem in 0-1 networks by Hachtel and Somenzi (1997) has been one of the first of these symbolic algorithms. Typically problems get harder when their input is represented symbolically, nevertheless not many concrete non-trivial lower bounds are known. Here, answering an open question posed by Sawitzki (2006) the first exponential lower bound on the space complexity of OBDD-based algorithms for the maximum flow problem in 0-1 networks is presented.