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A study on total irregularities of certain graphs and digraphs.
- Source :
-
Cogent Mathematics . Dec2016, Vol. 3 Issue 1, p1-N.PAG. 10p. - Publication Year :
- 2016
-
Abstract
- The total irregularity of a simple undirected graph G is denoted by irrt(G) and is defined as irrt(G) = 1/2 ... |d(u) - d(v)|. In this paper, we introduce the notion of edge-transformation in relation to total irregularity of simple graphs with at least one cut edge as well as an edge-joint between two graphs. We also introduce the notion of total irregularity with respect to in-degree and out-degree in directed graphs. We also introduce the concept of total irregularity in respect of in-degree and out-degree in simple directed graphs. These invariants are called total in-irregularity and total out-irregularity, respectively. In this paper, we initiate a study on these parameters of given simple undirected graphs and simple digraphs. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GRAPH theory
*DIRECTED graphs
*GEOMETRY
*MATHEMATICS
*EDGES (Geometry)
Subjects
Details
- Language :
- English
- ISSN :
- 23311835
- Volume :
- 3
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Cogent Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 121940101
- Full Text :
- https://doi.org/10.1080/23311835.2016.1179708