Results 171 to 180 of about 1,709,161 (224)

On the Optimality of Linear Merge

SIAM Journal on Computing, 1980
Let $M(m,n)$ be the minimum number of pairwise comparisons which will always suffice to merge two linearly ordered lists of lengths m and n. We prove that $M(m,m + d) = 2m + d - 1$ whenever $m \geqq 2d - 2$. This generalizes earlier results of Graham and Karp $(d = 1)$, Hwang and Lin $(d = 2,3)$, Knuth $(d = 4)$, and shows that the standard linear ...
Paul K. Stockmeyer, F. Frances Yao
openaire   +2 more sources

Optimal linear broadcast

Journal of Algorithms, 1990
Summary: We investigate the problem of linear broadcast, which is performed in a network in which messages follow linear routes. This is a characteristic of many high-speed networks, in which a special hardware is used for switching. Following, extending, and improving the recent work of \textit{C. T. Chou} and \textit{I. S.
Sara Bitan, Shmuel Zaks
openaire   +1 more source

Optimal Linear Ordering

SIAM Journal on Applied Mathematics, 1973
Consider a set of n pins and $n( n - 1 )/2$ specified numbers of wire connections between all pairs of the n pins There are also n holes all in a line with adjacent holes at unit distances apart. The problem is to put the n pins into the n holes such that the total wire length is a minimum.
Adolphson, D., Hu, T. C.
openaire   +2 more sources

Home - About - Disclaimer - Privacy