Zobrazeno 1 - 10
of 44
pro vyhledávání: '"S. L. Hakimi"'
Publikováno v:
Networks. 34:250-257
We begin by examining the dynamic behavior of a facility location such as a 1-median or a 1-center on a network when the parameters of the network are known functions of time. The parameters of the network include the lengths of the edges and the dem
Publikováno v:
Scopus-Elsevier
Information Processing Letters, vol 63, iss 5
Information Processing Letters, vol 63, iss 5
It is well known that every 2-edge-connected graph can be oriented so that the resulting digraph is strongly connected. Here we study the problem of orienting a connected graph with cut edges in order to maximize the number of ordered vertex pairs (x
Publikováno v:
Journal of Graph Theory. 20:177-194
A graph G is degree-bounded-colorable (briefly, db-colorable) if it can be properly vertex-colored with colors 1,2, …, k ≤ Δ(G) such that each vertex v is assigned a color c(v) ≤ v. We first prove that if a connected graph G has a block which
Publikováno v:
SIAM Journal on Computing. 23:355-372
Each vertex of an undirected graph possesses a piece of information that must be sent to every other vertex. They communicate by sending bounded size packets of messages from one vertex to another. The authors describe parallel algorithms, which acco
Publikováno v:
SIAM Journal on Discrete Mathematics. 6:565-574
This paper considers the following problem: Given a positive integer t and graph H, construct a graph G from H by adding a minimum number $\Delta ( t,H )$ (respectively, $\Delta ' ( t,H )$) of edges and an appropriate number of vertices, such that af
Publikováno v:
Networks. 23:543-555
The study of “optimally” locating on a network a single facility of a given total length in the form of a path or a tree was initiated by several authors. We extend these results to the problem of locating p (≥1) such facilities. We will consid
Publikováno v:
IEEE Transactions on Computers. 42:253-256
Consider a network in which each unit initially knows only its own identity and the identity of its immediate neighbors. Suppose each unit has a message intended for all other units. The authors give a distributed algorithm to accomplish this in poin
Publikováno v:
Networks. 22:317-333
Consider a network consisting of units and links that connect pairs of units. Suppose each of the units possesses a unique message that is to be received by all other units. This is called gossiping. A related problem is that of census taking in whic
Autor:
E. F. Schmeichel, S. L. Hakimi
Publikováno v:
CVGIP: Graphical Models and Image Processing. 53:132-136
Given a set of points S = {(x1, y1), (x2, y2), …, (xN, yN)} in R2 with x1 < x2 < … < xN, we want to construct a polygonal (i.e., continuous, piecewise linear) function f with a small number of corners (i.e., nondifferentiable points) which fits S
Publikováno v:
Discrete Applied Mathematics. 28:191-195
We show that recognizing 1-tough graphs is NP-hard, thereby settling a long-standing open problem. We also prove it is NP-hard to recognize t-tough graphs for any fixed positive rational number t.