Name
Abstract | ||
|---|---|---|
We discuss the constructions of Clar-like valence structures and the associated Clar polynomials for large benzenoids. We have shown that Clar polynomial satisfy a theorem analogous to the Clarke's theorem for the characteristic polynomial of graphs, which allows one to reconstruct the polynomial of a system from the polynomials associated with qualified substructures. In the case of Clar's polynomial the substructures are obtained by deleting individual benzene rings from the considered benzenoid, one at a time. This property of Clar polynomial allows one to construct the polynomial of larger systems from known Clar's polynomials of smaller benzenoids. |
Year | DOI | Venue |
|---|---|---|
1998 | 10.1021/ci970035r | JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES |
Field | DocType | Volume |
Alternating polynomial,Discrete mathematics,Characteristic polynomial,Graph,Combinatorics,Polynomial matrix,Polynomial,Matrix polynomial,Symmetric polynomial,Mathematics | Journal | 38 |
Issue | ISSN | Citations |
4 | 0095-2338 | 1 |
PageRank | References | Authors |
0.38 | 6 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Milan Randic | 1 | 635 | 203.52 |
| Sherif El-basil | 2 | 4 | 1.13 |
| S Nikolić | 3 | 156 | 30.59 |
| Nenad Trinajstic | 4 | 330 | 67.57 |