Results 1 - 10 of 10,340

Depth first search and linear graph algorithms

by Robert Tarjan - SIAM JOURNAL ON COMPUTING , 1972
"... The value of depth-first search or "backtracking" as a technique for solving problems is illustrated by two examples. An improved version of an algorithm for finding the strongly connected components of a directed graph and ar algorithm for finding the biconnected components of an undirect ..."
Abstract - Cited by 1406 (19 self) - Add to MetaCart
of an undirect graph are presented. The space and time requirements of both algorithms are bounded by k 1V + k2E d- k for some constants kl, k2, and k a, where Vis the number of vertices and E is the number of edges of the graph being examined.

Fast approximate energy minimization via graph cuts

by Yuri Boykov, Olga Veksler, Ramin Zabih - IEEE Transactions on Pattern Analysis and Machine Intelligence , 2001
"... In this paper we address the problem of minimizing a large class of energy functions that occur in early vision. The major restriction is that the energy function’s smoothness term must only involve pairs of pixels. We propose two algorithms that use graph cuts to compute a local minimum even when v ..."
Abstract - Cited by 2120 (61 self) - Add to MetaCart
In this paper we address the problem of minimizing a large class of energy functions that occur in early vision. The major restriction is that the energy function’s smoothness term must only involve pairs of pixels. We propose two algorithms that use graph cuts to compute a local minimum even when

Interprocedural dataflow analysis via graph reachability

by Thomas Reps, Susan Horwitz, Mooly Sagiv , 1994
"... The paper shows how a large class of interprocedural dataflow-analysis problems can be solved precisely in poly-nomial time by transforming them into a special kind of graph-reachability problem. The only restrictions are that the set of dataflow facts must be a finite set, and that the dataflow fun ..."
Abstract - Cited by 454 (34 self) - Add to MetaCart
The paper shows how a large class of interprocedural dataflow-analysis problems can be solved precisely in poly-nomial time by transforming them into a special kind of graph-reachability problem. The only restrictions are that the set of dataflow facts must be a finite set, and that the dataflow

Proof verification and hardness of approximation problems

by Sanjeev Arora, Carsten Lund, Rajeev Motwani, Madhu Sudan, Mario Szegedy - IN PROC. 33RD ANN. IEEE SYMP. ON FOUND. OF COMP. SCI , 1992
"... We show that every language in NP has a probablistic verifier that checks membership proofs for it using logarithmic number of random bits and by examining a constant number of bits in the proof. If a string is in the language, then there exists a proof such that the verifier accepts with probabilit ..."
Abstract - Cited by 797 (39 self) - Add to MetaCart
We show that every language in NP has a probablistic verifier that checks membership proofs for it using logarithmic number of random bits and by examining a constant number of bits in the proof. If a string is in the language, then there exists a proof such that the verifier accepts

Ricci Flow with Surgery on Three-Manifolds

by Grisha Perelman
"... This is a technical paper, which is a continuation of [I]. Here we verify most of the assertions, made in [I, §13]; the exceptions are (1) the statement that a 3-manifold which collapses with local lower bound for sectional curvature is a graph manifold- this is deferred to a separate paper, as the ..."
Abstract - Cited by 448 (2 self) - Add to MetaCart
This is a technical paper, which is a continuation of [I]. Here we verify most of the assertions, made in [I, §13]; the exceptions are (1) the statement that a 3-manifold which collapses with local lower bound for sectional curvature is a graph manifold- this is deferred to a separate paper

Non-Deterministic Exponential Time has Two-Prover Interactive Protocols

by Laszlo Babai, Lance Fortnow, Carsten Lund
"... We determine the exact power of two-prover inter-active proof systems introduced by Ben-Or, Goldwasser, Kilian, and Wigderson (1988). In this system, two all-powerful non-communicating provers convince a randomizing polynomial time verifier in polynomial time that the input z belongs to the language ..."
Abstract - Cited by 416 (37 self) - Add to MetaCart
verification scheme for multilinearity of an n-variable function held by an oracle and can be viewed as an independent result on program verification. Its proof rests on combinatorial techniques including the estimation of the expansion rate of a graph.

Optimization of Object-Oriented Programs using Static Class Hierarchy Analysis

by Jeffrey Dean, David Grove, Craig Chambers , 1995
"... Abstract. Optimizing compilers for object-oriented languages apply static class analysis and other techniques to try to deduce precise information about the possible classes of the receivers of messages; if successful, dynamicallydispatched messages can be replaced with direct procedure calls and po ..."
Abstract - Cited by 379 (18 self) - Add to MetaCart
and potentially further optimized through inline-expansion. By examining the complete inheritance graph of a program, which we call class hierarchy analysis, the compiler can improve the quality of static class information and thereby improve run-time performance. In this paper we present class hierarchy analysis

A unified approach to global program optimization

by Gary A. Kildall - In Conference Record of the ACM Symposium on Principles of Programming Languages , 1973
"... A technique is presented for global analysie of program structure in order to perform compile time optimization of object code generated for expressions. The global expression optimization presented includes constant propagation, common subexpression elimination, elimination of redundant register lo ..."
Abstract - Cited by 371 (0 self) - Add to MetaCart
of the graph represent program control flow Dossi-A number of techniques have evolved for the bilities between the nodes at execution–time. compile-time analysis of program structure in order to locate redundant computations, perform constant

Cryptographic Limitations on Learning Boolean Formulae and Finite Automata

by Michael Kearns, Leslie Valiant - PROCEEDINGS OF THE TWENTY-FIRST ANNUAL ACM SYMPOSIUM ON THEORY OF COMPUTING , 1989
"... In this paper we prove the intractability of learning several classes of Boolean functions in the distribution-free model (also called the Probably Approximately Correct or PAC model) of learning from examples. These results are representation independent, in that they hold regardless of the syntact ..."
Abstract - Cited by 347 (14 self) - Add to MetaCart
of the syntactic form in which the learner chooses to represent its hypotheses. Our methods reduce the problems of cracking a number of well-known public-key cryptosystems to the learning problems. We prove that a polynomial-time learning algorithm for Boolean formulae, deterministic finite automata or constant

The Octagon Abstract Domain

by Antoine Miné , 2007
"... ... domain for static analysis by abstract interpretation. It extends a former numerical abstract domain based on Difference-Bound Matrices and allows us to represent invariants of the form (±x ± y ≤ c), where x and y are program variables and c is a real constant. We focus on giving an efficient re ..."
Abstract - Cited by 321 (24 self) - Add to MetaCart
... domain for static analysis by abstract interpretation. It extends a former numerical abstract domain based on Difference-Bound Matrices and allows us to represent invariants of the form (±x ± y ≤ c), where x and y are program variables and c is a real constant. We focus on giving an efficient
Results 1 - 10 of 10,340