scholarly journals Efficient algorithms for the conditional covering problem

2012 ◽  
Vol 219 ◽  
pp. 39-57
Author(s):  
Robert Benkoczi ◽  
Binay Bhattacharya ◽  
Yuzhuang Hu ◽  
Chien-Hsin Lin ◽  
Qiaosheng Shi ◽  
...  
2005 ◽  
Vol 52 (4) ◽  
pp. 293-301 ◽  
Author(s):  
Brian J. Lunday ◽  
J. Cole Smith ◽  
Jeffrey B. Goldberg

2009 ◽  
Vol 3 (1) ◽  
pp. 97-107 ◽  
Author(s):  
Balasubramanian Sivan ◽  
S. Harini ◽  
C. Pandu Rangan

2011 ◽  
Vol 2011 ◽  
pp. 1-10
Author(s):  
Akul Rana ◽  
Anita Pal ◽  
Madhumangal Pal

Let G=(V,E) be a simple connected undirected graph. Each vertex v∈V has a cost c(v) and provides a positive coverage radius R(v). A distance duv is associated with each edge {u,v}∈E, and d(u,v) is the shortest distance between every pair of vertices u,v∈V. A vertex v can cover all vertices that lie within the distance R(v), except the vertex itself. The conditional covering problem is to minimize the sum of the costs required to cover all the vertices in G. This problem is NP-complete for general graphs, even it remains NP-complete for chordal graphs. In this paper, an O(n2) time algorithm to solve a special case of the problem in a trapezoid graph is proposed, where n is the number of vertices of the graph. In this special case, duv=1 for every edge {u,v}∈E, c(v)=c for every v∈V(G), and R(v)=R, an integer >1, for every v∈V(G). A new data structure on trapezoid graphs is used to solve the problem.


1996 ◽  
Vol 34 (2) ◽  
pp. 77-91 ◽  
Author(s):  
Charles Revelle ◽  
Joseph Schweitzer ◽  
Stephanie Snyder

2018 ◽  
Vol 12 ◽  
pp. 25-41
Author(s):  
Matthew C. FONTAINE

Among the most interesting problems in competitive programming involve maximum flows. However, efficient algorithms for solving these problems are often difficult for students to understand at an intuitive level. One reason for this difficulty may be a lack of suitable metaphors relating these algorithms to concepts that the students already understand. This paper introduces a novel maximum flow algorithm, Tidal Flow, that is designed to be intuitive to undergraduate andpre-university computer science students.


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