Introduction Totally and Partial Connectivity Indices in Neutrosophic graphs with Application in Behavioral Sciences
Connectivity is one of the most important concepts in graph theory. Since Neutrosophic Graphs are a branch of graphs, connectivity will be very important in this branch as well. In this paper, we will define the connectivity in Neutrosophic graphs using the strength of connectedness between each pai...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of New Mexico
2020-09-01
|
| Series: | Neutrosophic Sets and Systems |
| Subjects: | |
| Online Access: | https://fs.unm.edu/NSS/IntroductionTotallyAndPartial7.pdf |
| _version_ | 1797769005299138560 |
|---|---|
| author | Masoud Ghods Zahra Rostami |
| author_facet | Masoud Ghods Zahra Rostami |
| author_sort | Masoud Ghods |
| collection | DOAJ |
| description | Connectivity is one of the most important concepts in graph theory. Since Neutrosophic Graphs are a branch of graphs, connectivity will be very important in this branch as well. In this paper, we will define the connectivity in Neutrosophic graphs using the strength of connectedness between each pair of its vertices. Also in this article, we define two new concepts of Partial connectivity index and totally connectivity index. We present several theorems related to these concepts and prove the theorems. |
| first_indexed | 2024-03-12T21:02:33Z |
| format | Article |
| id | doaj.art-f5d5f24caafb4f69ac55163cc3f57735 |
| institution | Directory Open Access Journal |
| issn | 2331-6055 2331-608X |
| language | English |
| last_indexed | 2024-03-12T21:02:33Z |
| publishDate | 2020-09-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj.art-f5d5f24caafb4f69ac55163cc3f577352023-07-31T06:18:02ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2020-09-0136819510.5281/zenodo.4065391Introduction Totally and Partial Connectivity Indices in Neutrosophic graphs with Application in Behavioral SciencesMasoud GhodsZahra RostamiConnectivity is one of the most important concepts in graph theory. Since Neutrosophic Graphs are a branch of graphs, connectivity will be very important in this branch as well. In this paper, we will define the connectivity in Neutrosophic graphs using the strength of connectedness between each pair of its vertices. Also in this article, we define two new concepts of Partial connectivity index and totally connectivity index. We present several theorems related to these concepts and prove the theorems.https://fs.unm.edu/NSS/IntroductionTotallyAndPartial7.pdfneutrosophic graphspartial connectivity indextotally connectivity indexm-barbell graphconnected neutrosophic graph |
| spellingShingle | Masoud Ghods Zahra Rostami Introduction Totally and Partial Connectivity Indices in Neutrosophic graphs with Application in Behavioral Sciences Neutrosophic Sets and Systems neutrosophic graphs partial connectivity index totally connectivity index m-barbell graph connected neutrosophic graph |
| title | Introduction Totally and Partial Connectivity Indices in Neutrosophic graphs with Application in Behavioral Sciences |
| title_full | Introduction Totally and Partial Connectivity Indices in Neutrosophic graphs with Application in Behavioral Sciences |
| title_fullStr | Introduction Totally and Partial Connectivity Indices in Neutrosophic graphs with Application in Behavioral Sciences |
| title_full_unstemmed | Introduction Totally and Partial Connectivity Indices in Neutrosophic graphs with Application in Behavioral Sciences |
| title_short | Introduction Totally and Partial Connectivity Indices in Neutrosophic graphs with Application in Behavioral Sciences |
| title_sort | introduction totally and partial connectivity indices in neutrosophic graphs with application in behavioral sciences |
| topic | neutrosophic graphs partial connectivity index totally connectivity index m-barbell graph connected neutrosophic graph |
| url | https://fs.unm.edu/NSS/IntroductionTotallyAndPartial7.pdf |
| work_keys_str_mv | AT masoudghods introductiontotallyandpartialconnectivityindicesinneutrosophicgraphswithapplicationinbehavioralsciences AT zahrarostami introductiontotallyandpartialconnectivityindicesinneutrosophicgraphswithapplicationinbehavioralsciences |