On the DAG Decomposition into Minimum Number of Chains

Science Press Release Distribution Services

On the DAG Decomposition into Minimum Number of Chains

May 29, 2023 Mathematics and Computer Science 0

By the DAG rot, we mean the decomposition of a supervised acyclic graph G into a underrated set of node-disjoint chains, that cover all the nodes of G. For some two nodes u and v on a chain, if u is above v before there is a way from u to v in G. In this paper, we discuss an efficient treasure for this problem. Its period complexity is middle from two points O(max{k, } ×n2) while highest in rank algorithm for this question up to now needs O(n3) time, place n is the number of the nodes of G, and k is G’s breadth, defined expected the size of a best node subset U of G specific that for every pair of knots x, y Î U, there does not endure a path from x to y or from y to x. k is usually much smaller than n. In addition, apiece existing algorithm, Q(n2) extra room (besides the space for G itself) is necessary to maintain the transitive seal of G to do the task while ours needs only O(k×n) extra scope. This is particularly important for few nowadays requests with large graphs including heaps and even billions of knots, like the facebook, twitter, and some other public networks.

Author(s) Details:

Yangjun Chen,
Department of Mathematics, Sindhi College, Bangalore-560024, India.

Yibin Chen,
The University of Winnipeg, Canada.

Please see the link here: https://stm.bookpi.org/RATMCS-V1/article/view/10692

Keywords: Micropolar, pressure, lubrication, squeeze film


Leave a Reply

Your email address will not be published. Required fields are marked *