Maximal buttonings of non-tree graphs
© 2017 by the Mathematical Association of Thailand. All rights reserved. Let G be a finite connected graph of n vertices v1, v2,…, vn. A buttoning of G is a closed walk consisting of n shortest paths [v1, v2], [v2, v3],…, [vn−1, vn], [vn, v1]. The buttoning is said to be maximal if it has a maximum...
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Main Authors: | , |
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Format: | Journal |
Published: |
2018
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Subjects: | |
Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85041961413&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57500 |
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Institution: | Chiang Mai University |
Summary: | © 2017 by the Mathematical Association of Thailand. All rights reserved. Let G be a finite connected graph of n vertices v1, v2,…, vn. A buttoning of G is a closed walk consisting of n shortest paths [v1, v2], [v2, v3],…, [vn−1, vn], [vn, v1]. The buttoning is said to be maximal if it has a maximum length when compared with all other buttonings of G. The goal of this work is to find a length of a maximal buttoning of non-tree graphs: complete multipartite graphs, grid graphs and rooted products of graphs. |
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