Add to ORKGA polyene graph is a tree that can be embedded in a hexagonal lattice. Systems of polyene graphs attached to one hexagon are considered. Overlapping edges and/or vertices (geometrically nonplanar systems) are allowed. A complete mathematical solution is presented in terms of a generating function for the numbers of isomers of the systems in question. The corresponding geometrically planar systems, referred to as styrenoids, are enumerated by computer programming. Finally, in the Appendix, the generating function is given for the numbers of free polyene graphs
Benzenoid systems whose branching graphs are trees, and trees that are branching graphs of some benz...
While reviewing molecules corresponding to reciprocal graphs (graphs with all reciprocal eigenvalue ...
A theorem is stated that enables the number of spanning trees in any finite connected graph to be ca...
An algebraic solution for the isomer numbers of unbranched a-4- catafusenes is presented. An a-4-cat...
Tree-like polyphenyl systems form an important class of compounds in chemistry, in particular materi...
AbstractThis paper provides a combinatorial characterization for the class of graphs that model mole...
Catacondensed benzenoids (those benzenoids having no carbon atom belonging to three hexagonal rings)...
Benzenoids are a subfamily of hydrocarbons (molecules that are only made of hydrogen and carbon atom...
Conjugated molecules containing a linear polyene fragment are studied using graph theory. It is show...
By using the topological index Z and Z-counting polynomial proposed by the present author isospectra...
AbstractIn this paper we give an O(n2) algorithm to determine fixed bonds and normal subhexagonal sy...
The number of Kekule structures of all conjugated systems containing a linear polyacene chain of len...
Di-4-catafusenes are defined as catacondensed polygonal systems consisting of two tetragons each and...
Structural possibilities are considered for what arguably is the most general class of connected “pu...
Polya\u27s theorem was applied to cycloalkanes in order to obtain the numbers of stereoisomers, enan...
Benzenoid systems whose branching graphs are trees, and trees that are branching graphs of some benz...
While reviewing molecules corresponding to reciprocal graphs (graphs with all reciprocal eigenvalue ...
A theorem is stated that enables the number of spanning trees in any finite connected graph to be ca...
An algebraic solution for the isomer numbers of unbranched a-4- catafusenes is presented. An a-4-cat...
Tree-like polyphenyl systems form an important class of compounds in chemistry, in particular materi...
AbstractThis paper provides a combinatorial characterization for the class of graphs that model mole...
Catacondensed benzenoids (those benzenoids having no carbon atom belonging to three hexagonal rings)...
Benzenoids are a subfamily of hydrocarbons (molecules that are only made of hydrogen and carbon atom...
Conjugated molecules containing a linear polyene fragment are studied using graph theory. It is show...
By using the topological index Z and Z-counting polynomial proposed by the present author isospectra...
AbstractIn this paper we give an O(n2) algorithm to determine fixed bonds and normal subhexagonal sy...
The number of Kekule structures of all conjugated systems containing a linear polyacene chain of len...
Di-4-catafusenes are defined as catacondensed polygonal systems consisting of two tetragons each and...
Structural possibilities are considered for what arguably is the most general class of connected “pu...
Polya\u27s theorem was applied to cycloalkanes in order to obtain the numbers of stereoisomers, enan...
Benzenoid systems whose branching graphs are trees, and trees that are branching graphs of some benz...
While reviewing molecules corresponding to reciprocal graphs (graphs with all reciprocal eigenvalue ...
A theorem is stated that enables the number of spanning trees in any finite connected graph to be ca...