Total Face Irregularity Strength of Grid and Wheel Graph under K-Labeling of Type (1, 1, 0)
In this study, we used grids and wheel graphs G=V,E,F, which are simple, finite, plane, and undirected graphs with V as the vertex set, E as the edge set, and F as the face set. The article addresses the problem to find the face irregularity strength of some families of generalized plane graphs unde...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/1311269 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560524581142528 |
|---|---|
| author | Aleem Mughal Noshad Jamil |
| author_facet | Aleem Mughal Noshad Jamil |
| author_sort | Aleem Mughal |
| collection | DOAJ |
| description | In this study, we used grids and wheel graphs G=V,E,F, which are simple, finite, plane, and undirected graphs with V as the vertex set, E as the edge set, and F as the face set. The article addresses the problem to find the face irregularity strength of some families of generalized plane graphs under k-labeling of type α,β,γ. In this labeling, a graph is assigning positive integers to graph vertices, graph edges, or graph faces. A minimum integer k for which a total label of all verteices and edges of a plane graph has distinct face weights is called k-labeling of a graph. The integer k is named as total face irregularity strength of the graph and denoted as tfsG. We also discussed a special case of total face irregularity strength of plane graphs under k-labeling of type (1, 1, 0). The results will be verified by using figures and examples. |
| format | Article |
| id | doaj-art-68981d5157e24ee78884a2156c9f72eb |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-68981d5157e24ee78884a2156c9f72eb2025-02-03T01:27:22ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/13112691311269Total Face Irregularity Strength of Grid and Wheel Graph under K-Labeling of Type (1, 1, 0)Aleem Mughal0Noshad Jamil1University of Management and Technology, Lahore, PakistanUniversity of Management and Technology, Lahore, PakistanIn this study, we used grids and wheel graphs G=V,E,F, which are simple, finite, plane, and undirected graphs with V as the vertex set, E as the edge set, and F as the face set. The article addresses the problem to find the face irregularity strength of some families of generalized plane graphs under k-labeling of type α,β,γ. In this labeling, a graph is assigning positive integers to graph vertices, graph edges, or graph faces. A minimum integer k for which a total label of all verteices and edges of a plane graph has distinct face weights is called k-labeling of a graph. The integer k is named as total face irregularity strength of the graph and denoted as tfsG. We also discussed a special case of total face irregularity strength of plane graphs under k-labeling of type (1, 1, 0). The results will be verified by using figures and examples.http://dx.doi.org/10.1155/2021/1311269 |
| spellingShingle | Aleem Mughal Noshad Jamil Total Face Irregularity Strength of Grid and Wheel Graph under K-Labeling of Type (1, 1, 0) Journal of Mathematics |
| title | Total Face Irregularity Strength of Grid and Wheel Graph under K-Labeling of Type (1, 1, 0) |
| title_full | Total Face Irregularity Strength of Grid and Wheel Graph under K-Labeling of Type (1, 1, 0) |
| title_fullStr | Total Face Irregularity Strength of Grid and Wheel Graph under K-Labeling of Type (1, 1, 0) |
| title_full_unstemmed | Total Face Irregularity Strength of Grid and Wheel Graph under K-Labeling of Type (1, 1, 0) |
| title_short | Total Face Irregularity Strength of Grid and Wheel Graph under K-Labeling of Type (1, 1, 0) |
| title_sort | total face irregularity strength of grid and wheel graph under k labeling of type 1 1 0 |
| url | http://dx.doi.org/10.1155/2021/1311269 |
| work_keys_str_mv | AT aleemmughal totalfaceirregularitystrengthofgridandwheelgraphunderklabelingoftype110 AT noshadjamil totalfaceirregularitystrengthofgridandwheelgraphunderklabelingoftype110 |