New PDF release: A Branch-and-cut Algorithm for the Undirected Rural Postman

By Ghiani G., Laporte G.

Show description

Read or Download A Branch-and-cut Algorithm for the Undirected Rural Postman Problem PDF

Similar algorithms and data structures books

Download e-book for iPad: Java & Databases (Innovative Technology Series) by Akmal Chaudhri

Twenty-two teachers and practitioners contributed to this presentation of using Java in chronic garage managers and different functions.

Get IBM InfoSphere Replication Server and Data Event Publisher PDF

It is a developer's advisor and is written in a mode appropriate to execs. The preliminary chapters disguise the elemental idea and ideas of Q replication and WebSphere MQ. because the e-book advances, a variety of real-world situations and examples are lined with easy-to-understand code. the information received in those chapters culminate within the Appendix, which incorporates step by step directions to establish numerous Q replication situations.

Extra info for A Branch-and-cut Algorithm for the Undirected Rural Postman Problem

Sample text

There is an O(n2 m2 )-time approximation algorithm for Min-2FP achieving a ratio of 682 575 , where n (respectively, m) is the number of vertices (respectively, edges) in the input graph. Previously, the best ratio achieved by a polynomial-time approximation algorithm for Min-2-FP was 65 [6], although Min-2-FP admits a polynomial-time approximation algorithm achieving a ratio of 42Δ−30 35Δ−21 , where Δ is the maximum degree of a vertex in the input graph [6]. 5 Final Remarks When the input graph is restricted to simple graphs, Max Edge t-Coloring is easier to approximate for large values of t as follows: Given G and t, first compute a maximum b-matching M of G where b(v) = t for all vertices v of G, then partition E(M ) into t+1 matchings M1 , .

So, the sample space of (s1 , s2 ) is of size O(n2 ). For each sample (s1 , s2 ) in the space, we perform Steps 8 through 11 to obtain an output H(s1 , s2 ). This takes a total time of (n3 ) because Steps 8 through 11 can be done in O(n) time. We then find the sample (s1 , s2 ) in O(n2 ) time such that |H(s1 , s2 )| is maximized, and further output H(s1 , s2 ). 4 An Application Let G be a graph. An edge cover of G is a set F of edges of G such that each vertex of G is incident to at least one edge of F .

Tanahashi becomes an available bridge with probability at least 25 . Thus, we can expect at A,ex | available bridges in M , which can then be added to H as before least 15 |Eopt to obtain H . A,ex | is significantly large, then By the discussion in the last paragraph, if |Eopt the above modified ideas lead to a randomized algorithm whose output can be expected to contain significantly more edges than the output of the simple A,ex | is not significantly algorithm. So, the problematic case happens when |Eopt large.

Download PDF sample

A Branch-and-cut Algorithm for the Undirected Rural Postman Problem by Ghiani G., Laporte G.


by Charles
4.1

Rated 4.76 of 5 – based on 18 votes