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Scopus: Year 1983-2021
The Multibases of Symmetric Caterpillars
Publication:
The Multibases of Symmetric Caterpillars
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0
Issued Date
2020
Resource Type
Article
File Type
application/pdf
ISSN
23144629
DOI
10.1155/2020/5210628
Other identifier(s)
2-s2.0-85087937738
Rights Holder(s)
มหาวิทยาลัยศรีนครินทรวิโรฒ
Bibliographic Citation
Journal of Mathematics. Vol 2020, (2020)
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Isariyapalakul S., Khemmani V., Pho-On W.
The Multibases of Symmetric Caterpillars.
Journal of Mathematics. Vol 2020, (2020).
doi:10.1155/2020/5210628
Retrieved from:
https://hdl.handle.net/20.500.14740/4724
Title
The Multibases of Symmetric Caterpillars
Author(s)
Isariyapalakul S.
Khemmani V.
Pho-On W.
Abstract
For a set W=w1,w2,.,wk of vertices and a vertex v of a connected graph G, the k-multiset mrvW=dv,w1,dv,w2,.,dv,wk, where dv,wi is the distance from v to wi for i=1,2,.,k, and is the multirepresentation of v with respect to W. The set W is a multiresolving set of G if the multirepresentations of every two distinct vertices of G with respect to W are distinct. The multiresolving set of G having the minimum cardinality is called a multibasis of G. The cardinality of a multibasis of G is the multidimensiondimMG of G. A caterpillar cak1,k2,.,ks is called a symmetric caterpillar if ki=ks-i+1 for all integers i with 1≤i≤s. In this work, the multiresolving sets of symmetric caterpillars are studied. © 2020 Supachoke Isariyapalakul et al.
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https://hdl.handle.net/20.500.14740/4724
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Scopus: Year 1983-2021
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