By Artur Andrzejak, Komei Fukuda (auth.), Frank Dehne, Jörg-Rüdiger Sack, Arvind Gupta, Roberto Tamassia (eds.)

ISBN-10: 3540662790

ISBN-13: 9783540662792

The papers during this quantity have been provided on the 6th Workshop on Algorithms and knowledge constructions (WADS '99). The workshop came about August eleven - 14, 1999, in Vancouver, Canada. The workshop alternates with the Scandinavian Workshop on Algorithms conception (SWAT), carrying on with the culture of SWAT and WADS beginning with SWAT'88 and WADS'89. in accordance with this system committee's demand papers, seventy one papers have been submitted. From those submissions, this system committee chosen 32 papers for presentation on the workshop. as well as those submitted papers, this system committee invited the next researchers to offer plenary lectures on the workshop: C. Leiserson, N. Magnenat-Thalmann, M. Snir, U. Vazarani, and 1. Vitter. On behalf of this system committee, we wish to specific our appreciation to the six plenary teachers who permitted our invitation to talk, to the entire authors who submitted papers to W ADS'99, and to the Pacific Institute for Mathematical Sciences for his or her sponsorship. ultimately, we want to precise our gratitude to the entire those who reviewed papers on the request of this system committee. August 1999 F. Dehne A. Gupta J.-R. Sack R. Tamassia VI convention Chair: A. Gupta software Committee Chairs: F. Dehne, A. Gupta, J.-R. Sack, R. Tamassia application Committee: A. Andersson, A. Apostolico, G. Ausiello, G. Bilardi, ok. Clarkson, R. Cleve, M. Cosnard, L. Devroye, P. Dymond, M. Farach-Colton, P. Fraigniaud, M. Goodrich, A.

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**Extra info for Algorithms and Data Structures: 6th International Workshop, WADS’99 Vancouver, Canada, August 11–14, 1999 Proceedings**

**Example text**

We will assure the strong equivalence using the following lemma. Lemma 3 Properties (1), (2) and (3) are sufficient to assure strong equivalence between G and G 1 : (1) For any edge {u, v}, there is a node which is incident to all replacements of {u, v}. If this node belongs to G v , then we say that {u, v} fans out from v towards u. (2) If u E T then G u contains an odd number of nodes, and if u E S then G u contains an even n'u,mber of nodes. (3) Let Au be a set of edges that are incident to some node u of the graph G.

Empty circles indicate the nodes of C u , solid circles indicate nodes that are connected to C u via replacement edges. A large solid circle indicates an edge that fans out toward v. Proof. First, we reduce the problem to the case of a biconnected graph, thus eliminating the nodes of degree 0 and 1. Second, we decide for each edge the direction in which it can be fanned out. In the third stage, we replace each node v with its respective gadget Hv. Fourth, and finally, we connect the gadgets, making sure that if Hu assumes that the edge {u, v} fans out toward u, we allowed for that in the second stage.

Reallocate (B, s): If possible, resizes the block B to the specified size s. Otherwise, allocates a block of size s, into which it copies the contents of B, and deallocates B. In either case, the operation returns the resulting block of size s. Hence, in the worst case, Reallocate degenerates to an Allocate, a block copy, and a Deallocate. It may be more efficient in certain practical cases, but it offers no theoretical benefits. A memory block B consists of the user's data, whose size we denote by IBI, plus a header of fixed size h.