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Autor:
Jeffrey S. Salowe, Dana Richards
Publikováno v:
International Journal of Computational Geometry & Applications. :277-292
A mixed spanning tree is a tree that seeks to combine the properties of a minimim weight spanning tree and shortest path tree. We concentrate on the problem for complete Euclidean graphs. A survey of prior algorithms is given and several new algorith
Autor:
Jeffrey S. Salowe, Joseph L. Ganley
Publikováno v:
Operations Research Letters. 19:217-224
Given a set of terminals in the plane, a bottleneck Steiner tree is a tree interconnecting the terminals, in which the length of the longest edge is minimized. The bottleneck Steiner tree problem, or special cases thereof, has applications in facilit
Autor:
Gabriel Robins, Jeffrey S. Salowe
Publikováno v:
Discrete & Computational Geometry. 14:151-165
Motivated by practical VLSI routing applications, we study the maximum vertex degree of a minimum spanning tree (MST). We prove that, under theLp norm, the maximum vertex degree over all MSTs is equal to the Hadwiger number of the corresponding unit
Autor:
Jeffrey S. Salowe, David M. Warme
Publikováno v:
Networks. 25:69-87
Given a set of terminals in the plane, a rectilinear Steiner minimal tree is a shortest interconnection among these terminals using only horizontal and vertical edges. We present an algorithm that constructs a rectilinear Steiner minimal tree for any
Autor:
J. M. Bollinger, S. Salowe, M. C. Samano, John McCracken, Mark A. Ator, JoAnne Stubbe, Morris J. Robins, Jack Peisach
Publikováno v:
Biochemistry. 32:12749-12760
Ribonucleotide reductase (RDPR) from Escherichia coli is composed of two subunits, R1 and R2, and catalyzes the conversion of nucleotides to deoxynucleotides. The mechanism of inactivation of RDPR by 2'-azido-2'-deoxynucleoside 5'-diphosphate (N3UDP)
Autor:
Jeffrey S. Salowe
Publikováno v:
Operations Research Letters. 12:271-274
The rectilinear Steiner ratio is the worst-case ratio of the length of a rectilinear minimum spanning tree to the length of a minimal tree. Hwang proved that the ratio for point sets in the plane is 3/2. We provide a simple proof of the 3/2-bound.
Autor:
J. S. Salowe, Dana Richards
Publikováno v:
Algorithmica. 7:247-276
Ak-extremal point set is a point set on the boundary of ak-sided rectilinear convex hull. Given ak-extremal point set of sizen, we present an algorithm that computes a rectilinear Steiner minimal tree in timeO(k 4 n). For constantk, this algorithm ru
Autor:
Dana Richards, Jeffrey S. Salowe
Publikováno v:
Acta Informatica. 29:395-414
Anorder-statistic deque is a deque that also supports the operationfind(k, D), wherefind(k, D) returns the item inD with rankk. Assumingk is fixed, we show how to implement an order-statistic deque so thatinject(x, D), eject(D), push(x, D), andpop(D)
Autor:
Jeffrey S. Salowe
Publikováno v:
International Journal of Computational Geometry & Applications. :49-59
In this paper, we study the enumerative versions of the interdistance in terdis stance ranking and selection problems in space, namely, the fixed-radius near neighbors and interdistance enumeration problems, respectively. The input to the fixed-radiu