Results 91 to 100 of about 2,717 (193)

A STUDY ON UNICYCLIC GRAPH

, 2020
{"references": ["1.\tJ. Amalorpava Jerline, L. Benedict Michaelraj, On a conjecture of harmonic index and diameter of graphs, Kragujevac Journal of Mathematics, 40(1), (2016),73-78. 2.\tR. Balakrishnan, K. Ranganathan, A Textbook of Graph Theory, Springer-Verlog, New York, 2000. 3.\tH. Deng, S. Balachandran, S. K. Ayyaswamy, Y. B.
I. Ignomary, S. Suganya
openaire   +1 more source

Isolate Domination in Unicyclic Graphs

International Journal of Mathematics and Soft Computing, 2013
A subset $D$ of the vertex set $V(G)$ of a graph $G$ is called a dominating set of $G$ if every vertex in $V-D$ is adjacent to a vertex in $D$. A dominating set $D$ such that $$ has an isolated vertex is called an isolate dominating set and the minimum cardinality of an isolate dominating set is called the isolate domination number of $G$ and is ...
S. Balamurugan, I. Sahul Hamid
openaire   +1 more source

Solutions of Detour Distance Graph Equations. [PDF]

Sensors (Basel), 2022
Prabha SC, Palanivel M, Amutha S, Anbazhagan N, Cho W, Song HK, Joshi GP, Moon H.   +7 more
europepmc   +1 more source

On the Laplacian index of tadpole graphs

Special Matrices
In this article, we study the Laplacian index of tadpole graphs, which are unicyclic graphs formed by adding an edge between a cycle Ck{C}_{k} and a path Pn{P}_{n}.
Braga Rodrigo O., Veloso Bruno S.
doaj   +1 more source

Graphs which have pancyclic complements

International Journal of Mathematics and Mathematical Sciences, 1978
Let p and q denote the number of vertices and edges of a graph G, respectively. Let Δ(G) denote the maximum degree of G, and G¯ the complement of G. A graph G of order p is said to be pancyclic if G contains a cycle of each length n, 3≤n≤p.
H. Joseph Straight
doaj   +1 more source

A structural approach to the graceful coloring of a subclass of trees. [PDF]

Heliyon, 2023
D L, S DY.
europepmc   +1 more source

Further development of F-index for fuzzy graph and its application in Indian railway crime. [PDF]

J Appl Math Comput, 2023
Islam SR, Pal M.
europepmc   +1 more source

The partition dimension of the vertex amalgamation of some cycles. [PDF]

Heliyon, 2022
Hasmawati, Hinding N, Nurwahyu B, Syukur Daming A, Kamal Amir A.   +4 more
europepmc   +1 more source

γ-Inverse graph of some mixed graphs

Special Matrices
Let GG be a graph. Then, the inverse graph G−1{G}^{-1} of GG is defined to be a graph that has adjacency matrix similar to the inverse of the adjacency matrix of GG, where the similarity matrix is ±1\pm 1 diagonal matrix. In this article, we introduced a
Boulahmar Wafa, Ghanem Manal, Abudayah Mohammad   +2 more
doaj   +1 more source

Conjugated tricyclic graphs with maximum variable sum exdeg index. [PDF]

Heliyon, 2023
Rizwan M, Bhatti AA, Javaid M, Shang Y.
europepmc   +1 more source