1- https://doi.org/10.17654/0974165825025
TOTAL OFFENSIVE ALLIANCE OF TOTAL GRAPHS GENERATED FROM GRAPHS WITH MAXIMUM DEGREE 2
- Mar 11, 2025
- Advances and Applications in Discrete Mathematics
- Maxene S Hablo +1 more
Abstract
For a nontrivial connected graph , a nonempty subset is a total offensive alliance in if is an offensive alliance and every vertex in has at least one neighbor within . The minimum cardinality of a total offensive alliance in is called the total offensive alliance number of , denoted by . In this paper, we investigate the total offensive alliance of total graphs generated from graphs with maximum degree 2 and present the characterization of total offensive alliance and their corresponding total offensive alliance number.
- # Offensive Alliance
- # Maximum Degree
- # Nonempty Subset
- # Offensive Alliance Number
- # Alliance Number
- # Total Graphs
- # Graphs Generated
- # Minimum Cardinality
