Under which conditions is λ″(G)=κ″(L(G))?
AbstractIn this paper we show that if G is a connected graph such that [Formula: see text], [Formula: see text] and [Formula: see text] then [Formula: see text] exists and [Formula: see text] if and only if G is not super-[Formula: see text]. We also obtain some other results.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2023-09-01
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| Series: | AKCE International Journal of Graphs and Combinatorics |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/09728600.2023.2218443 |
| _version_ | 1797385643393810432 |
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| author | Farnaz Soliemany Mohsen Ghasemi Rezvan Varmazyar |
| author_facet | Farnaz Soliemany Mohsen Ghasemi Rezvan Varmazyar |
| author_sort | Farnaz Soliemany |
| collection | DOAJ |
| description | AbstractIn this paper we show that if G is a connected graph such that [Formula: see text], [Formula: see text] and [Formula: see text] then [Formula: see text] exists and [Formula: see text] if and only if G is not super-[Formula: see text]. We also obtain some other results. |
| first_indexed | 2024-03-08T21:57:13Z |
| format | Article |
| id | doaj.art-8badd0aebd4a4d139b75420bf1d9f2c5 |
| institution | Directory Open Access Journal |
| issn | 0972-8600 2543-3474 |
| language | English |
| last_indexed | 2024-03-08T21:57:13Z |
| publishDate | 2023-09-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | AKCE International Journal of Graphs and Combinatorics |
| spelling | doaj.art-8badd0aebd4a4d139b75420bf1d9f2c52023-12-19T17:41:02ZengTaylor & Francis GroupAKCE International Journal of Graphs and Combinatorics0972-86002543-34742023-09-0120324424610.1080/09728600.2023.2218443Under which conditions is λ″(G)=κ″(L(G))?Farnaz Soliemany0Mohsen Ghasemi1Rezvan Varmazyar2Department of Mathematics, Urmia University, Urmia, IranDepartment of Mathematics, Urmia University, Urmia, IranDepartment of Mathematics, Khoy Branch, Islamic Azad University, Khoy, IranAbstractIn this paper we show that if G is a connected graph such that [Formula: see text], [Formula: see text] and [Formula: see text] then [Formula: see text] exists and [Formula: see text] if and only if G is not super-[Formula: see text]. We also obtain some other results.https://www.tandfonline.com/doi/10.1080/09728600.2023.2218443m-restricted edge-cutline graphsuper-05C4005C90 |
| spellingShingle | Farnaz Soliemany Mohsen Ghasemi Rezvan Varmazyar Under which conditions is λ″(G)=κ″(L(G))? AKCE International Journal of Graphs and Combinatorics m-restricted edge-cut line graph super- 05C40 05C90 |
| title | Under which conditions is λ″(G)=κ″(L(G))? |
| title_full | Under which conditions is λ″(G)=κ″(L(G))? |
| title_fullStr | Under which conditions is λ″(G)=κ″(L(G))? |
| title_full_unstemmed | Under which conditions is λ″(G)=κ″(L(G))? |
| title_short | Under which conditions is λ″(G)=κ″(L(G))? |
| title_sort | under which conditions is λ g κ l g |
| topic | m-restricted edge-cut line graph super- 05C40 05C90 |
| url | https://www.tandfonline.com/doi/10.1080/09728600.2023.2218443 |
| work_keys_str_mv | AT farnazsoliemany underwhichconditionsislgklg AT mohsenghasemi underwhichconditionsislgklg AT rezvanvarmazyar underwhichconditionsislgklg |