Some Special Sequences in Fuzzy Graphs
In a fuzzy graph, the edges are mainly classified into α, β and δ. In this paper, some sequences in fuzzy graphs are introduced, whose concepts are based on the classification of edges. Besides, characterizations for blocks in fuzzy graphs and fuzzy trees are obtained. It is shown that β sequence of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Tsinghua University Press
2016-03-01
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| Series: | Fuzzy Information and Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1616865816300036 |
| _version_ | 1797711512761008128 |
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| author | Jill K. Mathew Sunil Mathew |
| author_facet | Jill K. Mathew Sunil Mathew |
| author_sort | Jill K. Mathew |
| collection | DOAJ |
| description | In a fuzzy graph, the edges are mainly classified into α, β and δ. In this paper, some sequences in fuzzy graphs are introduced, whose concepts are based on the classification of edges. Besides, characterizations for blocks in fuzzy graphs and fuzzy trees are obtained. It is shown that β sequence of a fuzzy tree is a zero sequence and α sequence of a block is a binary sequence. |
| first_indexed | 2024-03-12T07:08:08Z |
| format | Article |
| id | doaj.art-6a010b6552524a1fa66ad7e771719da9 |
| institution | Directory Open Access Journal |
| issn | 1616-8658 |
| language | English |
| last_indexed | 2024-03-12T07:08:08Z |
| publishDate | 2016-03-01 |
| publisher | Tsinghua University Press |
| record_format | Article |
| series | Fuzzy Information and Engineering |
| spelling | doaj.art-6a010b6552524a1fa66ad7e771719da92023-09-02T23:19:25ZengTsinghua University PressFuzzy Information and Engineering1616-86582016-03-0181314010.1016/j.fiae.2016.03.003Some Special Sequences in Fuzzy GraphsJill K. Mathew0Sunil Mathew1Department of Mathematics, Federal Institute of Science and Technology, Angamaly, Kerala, IndiaDepartment of Mathematics, National Institute of Technology Calicut, Kerala, IndiaIn a fuzzy graph, the edges are mainly classified into α, β and δ. In this paper, some sequences in fuzzy graphs are introduced, whose concepts are based on the classification of edges. Besides, characterizations for blocks in fuzzy graphs and fuzzy trees are obtained. It is shown that β sequence of a fuzzy tree is a zero sequence and α sequence of a block is a binary sequence.http://www.sciencedirect.com/science/article/pii/S1616865816300036α-Sequenceβ-SequenceStrong sequenceBlockFuzzy tree |
| spellingShingle | Jill K. Mathew Sunil Mathew Some Special Sequences in Fuzzy Graphs Fuzzy Information and Engineering α-Sequence β-Sequence Strong sequence Block Fuzzy tree |
| title | Some Special Sequences in Fuzzy Graphs |
| title_full | Some Special Sequences in Fuzzy Graphs |
| title_fullStr | Some Special Sequences in Fuzzy Graphs |
| title_full_unstemmed | Some Special Sequences in Fuzzy Graphs |
| title_short | Some Special Sequences in Fuzzy Graphs |
| title_sort | some special sequences in fuzzy graphs |
| topic | α-Sequence β-Sequence Strong sequence Block Fuzzy tree |
| url | http://www.sciencedirect.com/science/article/pii/S1616865816300036 |
| work_keys_str_mv | AT jillkmathew somespecialsequencesinfuzzygraphs AT sunilmathew somespecialsequencesinfuzzygraphs |