Topological index as applied to π-electronic systems. III. Mathematical relations among various bond orders

Haruo Hosoya, Kikuko Hosoi

Type: Article

Publication Date: 1976-02-01

Citations: 69

DOI: https://doi.org/10.1063/1.432316

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The Journal of Chemical Physics - View

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+	Characteristic polynomials of organic polymers and periodic structures	1985	K. Balasubramanian
+	On some counting polynomials in chemistry	1988	Haruo Hosoya
+ PDF Chat	Simple Topological Theory of Aromaticity for Annulenes and Radialenes	1980	Jun‐ichi Aihara
+	None	1998	Haruo Hosoya
+ PDF Chat	Approximate Formulas for Hosoya’s Topological Index	1987	Iván Gutman Zoran Marković
+	The Relation between the Eigenvalue Sum and the Topological Index <i>Z</i> Revisited	2002	Iván Gutman Dušica Vidović Haruo Hosoya
+ PDF Chat	The Expected Value of Hosoya Index and Merrifield–Simmons Index in a Random Cyclooctylene Chain	2022	Yushuang Sun Xianya Geng
+ PDF Chat	Analysis of the π-electronic structure of infinitely large networks	1990	Ying-Duo Gao Haruo Hosoya
+	Spectra of matching polynomials	1993	K. Balasubramanian
+ PDF Chat	Analysis of the π-electronic structure of infinitely large networks	1989	Haruo Hosoya Akiko Tsuchiya
+	Factorization and recursion relations of the matching and characteristic polynomials of periodic polymer networks	1991	Haruo Hosoya
+	Partition technique and molecular graph theory	2009	Yuan-Sun Kiang
+	The use of Frame's method for the characteristic polynomials of chemical graphs	1984	K. Balasubramanian
+	Analysis of the topological dependency of the characteristic polynomial in its chebyshev expansion	1983	Haruo Hosoya Milan Randić
+ PDF Chat	The characteristic polynomials of structures with pending bonds	1982	K. Balasubramanian Milan Randić
+	Spectral polynomials of systems with general interactions	1985	K. Balasubramanian Milan Randić
+	Number of Induced Matchings of Graphs	2021	Yan Chen Yan Liu
+	The structures of molecular topological spaces	1980	R. E. Merrifield Howard E. Simmons
+	Computing the numbers of independent sets and matchings of all sizes for graphs with bounded treewidth	2018	Pengfei Wan Jianhua Tu Shenggui Zhang Binlong Li
+	ELECTRON AND ENERGY CONTENTS OF HEXAGONS IN BENZENOID HYDROCARBONS	2005	Iván Gutman Boris Furtula Nedžad Turković
+	A Concealed Property of the Topological Index <i>Z</i>	2004	Iván Gutman Boris Furtula Dušica Vidović Haruo Hosoya
+	Important Mathematical Structures of the Topological Index <i>Z</i> for Tree Graphs	2007	Haruo Hosoya
+	Wheland Polynomial. I. Graph-theoretical Analysis of the Contribution of the Excited Resonance Structures to the Ground State of Acyclic Polyenes	1979	Noriko Ohkami Haruo Hosoya
+	Computer generation of the characteristic polynomials of chemical graphs	1984	K. Balasubramanian
+	Some properties of the topological bond order	2005	Iván Gutman Slavko Radenković Boris Furtula Haruo Hosoya
+ PDF Chat	What a Mathematical Chemist is Thinking	2007	Haruo Hosoya
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+ PDF Chat	Topological Index as Applied to π-Electronic Systems. IV. On the Topological Factors Causing Non-Uniform π-Electron Charge Distribution in Non-Alternant Hydrocarbons	1976	Iván Gutman Tamië Yamaguchi Haruo Hosoya
+ PDF Chat	Characteristic Polynomial Expression and Integral Expression for Imaginary Bond–Bond Polarizability. Rules for London Susceptibility and for Ring Current	1987	Noriyuki Mizoguchi
+	Operator technique for obtaining the recursion formulas of characteristic and matching polynomials as applied to polyhex graphs	1983	Haruo Hosoya Noriko Ohkami
+	Analysis of the topological dependency of the characteristic polynomial in its chebyshev expansion	1983	Haruo Hosoya Milan Randić
+	Computational algorithms for matching polynomials of graphs from the characteristic polynomials of edge‐weighted graphs	1989	Haruo Hosoya K. Balasubramanian
+	From How to Why. Graph-Theoretical Verification of Quantum-Mechanical Aspects of π-Electron Behaviors in Conjugated Systems	2003	Haruo Hosoya
+	Mo- and Vb-benzene characters	1980	Misako Aids Haruo Hosoya
+	MATCHING AND SYMMETRY OF GRAPHS	1986	HARUO HOSOYA
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+ PDF Chat	The expected values of the total numbers of independent edge sets and independent sets in random alpha-type pentagonal chains	2023	Lina Wei Hong Bian Haizheng Yu
+	Bibliography	1988
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Citing (5)

Action	Title	Year	Authors
+ PDF Chat	Topological Index. A Newly Proposed Quantity Characterizing the Topological Nature of Structural Isomers of Saturated Hydrocarbons	1971	Haruo Hosoya
+	Finite Graphs and Networks, An Introduction with Applications	1967	Lowell W. Beineke Robert G. Busacker Thomas L. Saaty
+	Graphical enumeration of the coefficients of the secular polynomials of the H�ckel molecular orbitals	1972	Haruo Hosoya
+	Topological Index as Applied to π-Electronic Systems. II. Topological Bond Order	1975	Haruo Hosoya Miyuki Murakami
+	A topological index for the total?-electron energy	1975	Haruo Hosoya Kikuko Hosoi Iván Gutman