Vector basis {(1,1,1,1),(1,1,1,0),(1,1,0,0),(1,0,0,0)}-cordial labeling of certain trees and flower graphs
Year: 2025
Type: article
Abstract: Let G be a (p,q) graph. Let V be an inner product space with basis S. We denote the inner product of the vectors x and y by < x, y >. Let φ: V(G) → S be a function. For edge uv assign the label < φ(u),φ(v) >. Then φ is called a vector basis S-cordial labeling of G if |φ x − φ y | ≤ 1 and |γ i − γ j | ≤ 1 where φx denotes the number of vertices labeled with the vector x and γi denotes the number of edges labeled with the scalar i. A graph which admits a vector basis S-cordial labeling is called a vector basis S-cordial graph. In this paper, we investigate the vector basis {(1,1,1,1),(1,1,1,0),(1,1,0,0),(1,0,0,0)}-cordial labeling behavior of some new graphs like the olive tree, lobster graph, Im,n graph, shrub graph, rose flower graph, clematis flower graph, cherry blossom flower graph, armed crown graph, rocket graph and sandat graph.
Source: Algebra Letters
DOI: 10.28919/al/9243
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413066935