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Title

On the finding 2-(k,l)-core of a tree with arbitrary real weight

Year: 1397
COI: JR_IJNAO-9-1_004
Language: EnglishView: 258
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Authors

s.m Ashkezari - Faculty of Mathematical Sciences, Shahrood University of Technology, University Blvd., Shahrood, Iran
j fathali - Faculty of Mathematical Sciences, Shahrood University of Technology, University Blvd., Shahrood, Iran.

Abstract:

Let T = (V, E) be a tree with V = n. A 2-(k, 1)-core of T is two subtrees with at most k leaves and with a diameter of at most l, which the sum of the distances from all vertices to these subtrees is minimized. In this paper, we first investigate the problem of finding 2-(k, 1)-core on an unweighted tree and show that there exists a solution that none of (k, 1)-cores is a vertex. Also in the case that the sum of the weights of vertices is negative, we show that one of (k, 1)-cores is a single vertex. Then an algorithm for finding the 2-(k, 2)-core of a tree with the pos/neg weight is presented

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Paper COI Code

This Paper COI Code is JR_IJNAO-9-1_004. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/992241/

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Ashkezari, s.m and fathali, j,1397,On the finding 2-(k,l)-core of a tree with arbitrary real weight,https://civilica.com/doc/992241

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Type of center: دانشگاه دولتی
Paper count: 7,928
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