Computing a Counting Polynomial of an Infinite Family of Linear Polycene Parallelogram Benzenoid Graph P(a,b)
Journal Title: JOURNAL OF ADVANCES IN PHYSICS - Year 0, Vol 3, Issue 1
Abstract
Omega polynomial was defined by M.V. Diudea in 2006 as  where the number of edges co-distant with e is denoted by n(e). One can obtain Theta Θ, Sadhana Sd and Pi Πpolynomials by replacing xn(e) with n(e)xn(e), x|E|-n(e) and n(e)x|E|-n(e) in Omega polynomial, respectively. Then Theta Θ, Sadhana Sd and Pi Πindices will be the first derivative of Θ(x), Sd(x) and Π(x) evaluated at x=1. In this paper, Pi Π(G,x) polynomial and Pi Π(G) index of an infinite family of linear polycene parallelogram benzenoid graph P(a,b) are computed for the first time.
Authors and Affiliations
Mohammad Reza Farahani
Keywords
Related Articles
- EP ID EP653200
- DOI 10.24297/jap.v3i1.2088
- Views 88
- Downloads 0
ON PARTICLE WAVES SOLUTIONS OF THE EQUATION OF ETHER WAVES
In previous publications, we demonstrated that the monochromatic waves ξ associated to particles, (including photons), submitted to forces, (gravitational regarding the photons), are the solutions of the ether elasticÂ...
The Aharanov-Bohm Phase Shift and Magnetic Vector Potential A Could Accommodate for Optical Coupler, Digital-to-Analogue Magnetic Field Excess Correlations of Photon Emissions Within Living Aqueous Systems
Quantitative convergence for solutions involving electron drift velocity, the magnetic A vector and phase shifts reveal an increment of energy in the range of 10-20 J that could relate the Aharanov-Bohm phase modulation...
Synthesis, Characterization and Phase Transition Studies on Some N-(4-Butyloxy Benzylidene)-4-Alkoxy Anilines, 4O.Om Compounds - A Dilatometric Study
Dilatometric studies are carried out on the synthesized N-(4-butyloxy benzylidene)-4-alkoxy anilines, 4O.Om compounds with the m = 3 to 7 and 9. Characterization of these compounds is done using the polarizing microscope...
Tetraeder Geometry
In the same way every circle is corresponding to an equal sided triangle the 3-sphere is corresponding to an inserted tetraeder. The latitude of the corners of the tetraeder on the 3-sphere is calculated here giving the...
Natural radioactivity in marine sediment of Khor- Abdulla Northern west of the Arabian Gulf
This work presents measurements of natural radionuclides (238U, 226Ra, 232Th and 40K) in the sea sediment using gamma spectroscopy. The sediment samples were collected from coastal and deep water using special equipment...