𝔖 Bobbio Scriptorium
✦   LIBER   ✦

ChemInform Abstract: Polynomials and Spectra of Molecular Graphs

✍ Scribed by Ovidiu Ivanciuc; Teodora Ivanciuc; Mircea V. Diudea


Publisher
John Wiley and Sons
Year
2010
Weight
24 KB
Volume
32
Category
Article
ISSN
0931-7597

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Tension polynomials of graphs
✍ Martin Kochol πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 104 KB

The tension polynomial F G (k) of a graph G, evaluating the number of nowhere-zero Z k -tensions in G, is the nontrivial divisor of the chromatic polynomial G (k) of G, in that G (k) ΒΌ k c(G) F G (k), where c(G) denotes the number of components of G. We introduce the integral tension polynomial I G

Computational algorithms for matching po
✍ Haruo Hosoya; K. Balasubramanian πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 736 KB

Computational algorithms are described which provide for constructing the set of associated edgeweighted directed graphs such that the average of the characteristic polynomials of the edge-weighted graphs gives the matching polynomial of the parent graph. The weights were chosen to be unities or pur

On color polynomials of Fibonacci graphs
✍ Sherif El-Basil πŸ“‚ Article πŸ“… 1987 πŸ› John Wiley and Sons 🌐 English βš– 216 KB

A recursion exists among the coefficients of the color polynomials of some of the families of graphs considered in recent work of Balasubramanian and Ramaraj.' Such families of graphs have been called Fibonacci graphs. Application to king patterns of lattices is given. The method described here appl

Roots of cube polynomials of median grap
✍ BoΕ‘tjan BreΕ‘ar; Sandi KlavΕΎar; Riste Ε krekovski πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 122 KB

## Abstract The cube polynomial __c__(__G__,__x__) of a graph __G__ is defined as $\sum\nolimits\_{i \ge 0} {\alpha \_i ( G)x^i }$, where Ξ±~i~(__G__) denotes the number of induced __i__‐cubes of __G__, in particular, Ξ±~0~(__G__) = |__V__(__G__)| and Ξ±~1~(__G__) = |__E__(__G__)|. Let __G__ be a medi