منابع مشابه
Paths, trees and matchings under disjunctive constraints
We study the minimum spanning tree problem, the maximum matching problem and the shortest path problem subject to binary disjunctive constraints: A negative disjunctive constraint states that a certain pair of edges cannot be contained simultaneously in a feasible solution. It is convenient to represent these negative disjunctive constraints in terms of a so-called conflict graph whose vertices...
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Constant-work-space algorithms model computation when space is at a premium: the input is given as a read-only array that allows random access to its entries, and the algorithm may use constantly many additional registers of O(logn) bits each, where n denotes the input size. We present such algorithms for two restricted variants of the shortest path problem. First, we describe how to report a s...
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A parallel algorithm is developed to nd the k shortest paths between pairs of vertices in an edge-weighted directed graph. The concurrent-read exclusive-write PRAM is used as the model of computation. The algorithm computes an implicit representation of the k shortest paths to a given destination vertex from each vertex of a graph with n vertices and m edges, using O(m + nk log 2 k) work and O(...
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A tree is called k-decomposable if it has a spanning forest whose components are all of size k. In this paper, we study the number of k-decomposable trees in families of increasing trees, i.e. labeled trees in which the unique path from the root to an arbitrary vertex forms an increasing sequence. Functional equations for the corresponding counting series are provided, yielding asymptotic or ev...
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ژورنال
عنوان ژورنال: Theory of Computing Systems
سال: 2013
ISSN: 1432-4350,1433-0490
DOI: 10.1007/s00224-013-9469-9