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Showing papers in "Information Processing Letters in 1993"


Journal ArticleDOI
TL;DR: The algorithm can be used as a building block for solving other distributed graph problems, and can be slightly modified to run on a strongly-connected diagraph for generating the existent Euler trail or to report that no Euler trails exist.

13,828 citations


Journal ArticleDOI
TL;DR: A simple universal strategy scL univ, with the property that, for any algorithm A, T ( A, scLUniv ) = O( lin A log( linA )), is described, which is the best performance that can be achieved, up to a constant factor, by any universal strategy.

281 citations


Journal ArticleDOI
TL;DR: A simple FAS algorithm which guarantees a good (though not optimal) performance bound and executes in time O(m) is presented and achieves the same asymptotic performance bound that Berger-Shor does.

211 citations


Journal ArticleDOI
TL;DR: An approximation algorithm for graph coloring is presented which achieves a performance guarantee of O(n( log log n) 2 (log n) 3 ) , a factor oflog log n improvement.

202 citations


Journal ArticleDOI
TL;DR: An O(n4.5 log n + V) algorithm to determine the largest agreement subtree of two trees on n leaves, where V is the maximum number of nodes in the trees.

149 citations


Journal ArticleDOI
TL;DR: In this article, it was shown that there is no constant e>0 for which this problem can be approximated within a factor of n 1−e in polynomial time unless P  NP.

126 citations


Journal ArticleDOI
TL;DR: An algorithm for the doubly lexical ordering problem on a 0-1 i by j matrix which runs in O( ij ) time is presented, which improves the time bounds for determining whether a dense 0–1 matrix is totally balanced, and determiningWhether a dense graph is strongly chordal or chordal bipartite.

119 citations


Journal ArticleDOI
TL;DR: The fault-diameter of the star graph is derived using a combinatorial method based on counting the number of node-disjoint paths of optimal length between a given pair of nodes in the graph and distributing the faulty nodes among these paths in a worst-case fashion.

113 citations


Journal ArticleDOI
TL;DR: An O( mn 2 ) time algorithm is presented that finds all-pairs quickest paths, for a given value of σ, and it is shown that the quickest path between any two nodes for any value ofπ can be found in O(log m ) time.

106 citations


Journal ArticleDOI
TL;DR: A new reduction algorithm which works in optimal linear time O(|G|) is presented, which is unique (up to isomorphisms) and can be computed from any OBDD G for f of size |G| in time O (¦G¦log¦ G¦).

104 citations


Journal ArticleDOI
TL;DR: It is shown that the feasibility problem on a single processor is NP-complete for a set of tasks with identical release times and two distinct deadlines, which gives a sharp boundary delineating the complexity of the problem.

Journal ArticleDOI
Marshall Bern1
TL;DR: Given n points in d dimensions, it is shown how to construct a data structure of space O( d 2 d n ) that approximately answers closest-point queries in time O (d 2 d log n ) per query.

Journal ArticleDOI
TL;DR: An θ(λn 2 ) space data structure is proposed which allows to answer quickest path queries in O(log r) time and whose construction requires δ(min {mn 2, rn 2 log n+rnm}) time.

Journal ArticleDOI
TL;DR: There is no mincut-model in general if only positive weights are allowed, and such models are constructed using positive and negative weights.

Journal ArticleDOI
TL;DR: This structure, the level-compressed trie, inherits the good properties of binary tries with respect to neighbour and range searches, while the external path length is significantly decreased, and has the advantage of being easy to implement.

Journal ArticleDOI
TL;DR: This work gives simple randomized and deterministic algorithms that compute g(i) such that ƒ( i) ⩽ g (i)⩽ Ɠ(i)(1 + e) for all i.

Journal ArticleDOI
TL;DR: The tree and tour cover problems on an edge-weighted graph are to compute a minimum weight tree and closed walk, respectively, whose vertices from a vertex cover as discussed by the authors.

Journal ArticleDOI
TL;DR: A new, simple proof of this lower bound that pairwise equal/not equal colour comparisons are necessary and sufficient to determine the majority color is presented.

Journal ArticleDOI
TL;DR: It is shown that this oblivious protocol requires fewer messages than the known private protocols for modular addition, and is in a sense optimal, by proving a tight lower bound of ⌈n·(t+1)/2⌉ messages for any oblivious protocol that computes the sum t-privately.

Journal ArticleDOI
TL;DR: A simple and practical algorithm is presented that finds the substring of T, which best matches some subst ring of P n ( P n is the concatenation of an arbitrary number of copies of P ).

Journal ArticleDOI
Eric T. Bax1
TL;DR: An algorithm that uses the principle of inclusion and exclusion to determine the number of Hamiltonian paths in a given graph that have a given starting vertex and a given ending vertex has an upper bound on time complexity of O(2 n x n 4 ) where n is thenumber of vertices in the graph.

Journal ArticleDOI
TL;DR: The problem of determining if a graph G has an efficient edge dominating set is NP-complete for general graphs as well as for line graphs and a linear-time algorithm for calculating the maximum number of edges that can be efficiently dominated in series-parallel graphs is presented.

Journal ArticleDOI
TL;DR: A function in ACC 0 is presented such that any depth-3 threshold circuit which computes this function and has AND gates at the bottom must have size n ω(log n ).

Journal ArticleDOI
TL;DR: This work reduces the runtime of the first heuristics finding approximate Steiner trees no longer than 11/6 times of the optimal length by reducing the time complexity of the all-pairs-shortest-paths problem.

Journal ArticleDOI
TL;DR: The efficient applicability of the techniques for deciding the satisfiability of lexicographic path ordering constraints under two different semantics: solutions built over the given signature and solutions in extended signatures is discussed.

Journal ArticleDOI
Boris Teia1
TL;DR: A randomized request sequence σs is constructed that no deterministic on-line algorithm can service with an expected cost less than 3 2 − 5 (n+5) times the off-line cost ( n denoting the length of the list).

Journal ArticleDOI
TL;DR: It is shown that assembly partitioning is NP-complete and the result extends to several interesting variants of the problem.

Journal ArticleDOI
TL;DR: It is proved that if Sn is the n-star graph then for any minimal length routing ρ diameter D(R(Sn,ρ)/F) is at most 3, as long as |F|


Journal ArticleDOI
TL;DR: It is shown that MBT is NP-complete for 3-regular planar graphs and a constant deadline k⩾2.