Theoretical study of energy, inertia and nullity of phenylene and anthracene
Zaheer Ahmad, Zeeshan Saleem Mufti, Muhammad Faisal Nadeem, Hani Shaker, Hafiz Muhammad Afzal Siddiqui
Abstract
Abstract Energy of a molecule plays an important role in physics, chemistry and biology. In mathematics, the concept of energy is used in graph theory to help other subjects such as chemistry and physics. In graph theory, nullity is the number of zeros extracted from the characteristic polynomials obtained from the adjacency matrix, and inertia represents the positive and negative eigenvalues of the adjacency matrix. Energy is the sum of the absolute eigenvalues of its adjacency matrix. In this study, the inertia, nullity and signature of the aforementioned structures have been discussed.
Topics & Concepts
Adjacency matrixEigenvalues and eigenvectorsGraph energyInertiaGraph theoryAnthraceneMathematicsAdjacency listCombinatoricsSylvester's law of inertiaMatrix (chemical analysis)Pure mathematicsGraphAlgebra over a fieldPhysicsChemistryQuantum mechanicsSymmetric matrixLine graphChromatographyGraph powerGraph theory and applicationsSynthesis and Properties of Aromatic CompoundsGraph Labeling and Dimension Problems