1. On the energy and spectral properties of the he matrix of hexagonal systems
- Creator:
- Bhatti, Faqir M., Das, Kinkar Ch., and Ahmed, Syed A.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- molecular graph, hexagonal system, inner dual, He matrix, spectral radius, eigenvalue, and energy of graph
- Language:
- English
- Description:
- The He matrix, put forward by He and He in 1989, is designed as a means for uniquely representing the structure of a hexagonal system (= benzenoid graph). Observing that the He matrix is just the adjacency matrix of a pertinently weighted inner dual of the respective hexagonal system, we establish a number of its spectral properties. Afterwards, we discuss the number of eigenvalues equal to zero of the He matrix of a hexagonal system. Moreover, we obtain a relation between the number of triangles and the eigenvalues of the He matrix of a hexagonal system. Finally, we present an upper bound on the He energy of hexagonal systems.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public