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New transmission irregular chemical graphs.
- Source :
-
Discrete Applied Mathematics . Dec2023, Vol. 340, p286-295. 10p. - Publication Year :
- 2023
-
Abstract
- The transmission of a vertex v of a (chemical) graph G is the sum of distances from v to other vertices in G. If any two vertices of G have different transmissions, then G is a transmission irregular graph. It is shown that for any odd number n ≥ 7 there exists a transmission irregular chemical tree of order n. A construction is provided which generates new transmission irregular (chemical) trees. Two additional families of chemical graphs are characterized by property of transmission irregularity and two sufficient condition provided which guarantee that the transmission irregularity is preserved upon adding a new edge. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MOLECULAR graphs
*ODD numbers
Subjects
Details
- Language :
- English
- ISSN :
- 0166218X
- Volume :
- 340
- Database :
- Academic Search Index
- Journal :
- Discrete Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 171920598
- Full Text :
- https://doi.org/10.1016/j.dam.2023.07.017