Di-4-catafusenes are defined as catacondensed polygonal systems consisting of two tetragons each and otherwise only hexagons. Di- 4-catafusenes are enumerated by combinatorial constructions and by computer programming. For the unbranched systems (nonhelicenic + helicenic), as the main result of the present work, a complete mathematical solution is reported. A new algebraic approach has been employed, which involves a triangular matrix with some interesting mathematical properties
AbstractA hexagon quadrangle system of order n and index ρ [HQSρ(n)] is a pair (X,H), where X is a f...
AbstractThis paper revisits the existence and construction problems for polygonal designs (a special...
AbstractIn this paper we give an O(n2) algorithm to determine fixed bonds and normal subhexagonal sy...
Di-4-catafusenes are defined as catacondensed polygonal systems consisting of two tetragons each and...
An algebraic solution for the isomer numbers of unbranched a-4- catafusenes is presented. An a-4-cat...
AbstractPolygonal systems Pq, which consist solely of q-gons, are considered. A Pq system correspond...
Abstract. Hexagonal systems are geometric objects obtained by arranging mu-tually congruent regular ...
AbstractThis paper provides a combinatorial characterization for the class of graphs that model mole...
This paper describes a rather efficient algorithm that enumerates nonisomorphic geometrically planar...
In this article we give an algorithm for the constructive enumeration of planar polycyclic hydrocarb...
A polyene graph is a tree that can be embedded in a hexagonal lattice. Systems of polyene graphs att...
Enumeration of graphs of polycyclic unbranched pentahexagonal catacondensed systems is considered. A...
A modified definition is proposed for cata-condensed aromatic hydrocarbons. A formula is devised for...
Catacondensed benzenoids (those benzenoids having no carbon atom belonging to three hexagonal rings)...
Characterization of the honeycomb or polyhex networks is of particular interest, not only from the v...
AbstractA hexagon quadrangle system of order n and index ρ [HQSρ(n)] is a pair (X,H), where X is a f...
AbstractThis paper revisits the existence and construction problems for polygonal designs (a special...
AbstractIn this paper we give an O(n2) algorithm to determine fixed bonds and normal subhexagonal sy...
Di-4-catafusenes are defined as catacondensed polygonal systems consisting of two tetragons each and...
An algebraic solution for the isomer numbers of unbranched a-4- catafusenes is presented. An a-4-cat...
AbstractPolygonal systems Pq, which consist solely of q-gons, are considered. A Pq system correspond...
Abstract. Hexagonal systems are geometric objects obtained by arranging mu-tually congruent regular ...
AbstractThis paper provides a combinatorial characterization for the class of graphs that model mole...
This paper describes a rather efficient algorithm that enumerates nonisomorphic geometrically planar...
In this article we give an algorithm for the constructive enumeration of planar polycyclic hydrocarb...
A polyene graph is a tree that can be embedded in a hexagonal lattice. Systems of polyene graphs att...
Enumeration of graphs of polycyclic unbranched pentahexagonal catacondensed systems is considered. A...
A modified definition is proposed for cata-condensed aromatic hydrocarbons. A formula is devised for...
Catacondensed benzenoids (those benzenoids having no carbon atom belonging to three hexagonal rings)...
Characterization of the honeycomb or polyhex networks is of particular interest, not only from the v...
AbstractA hexagon quadrangle system of order n and index ρ [HQSρ(n)] is a pair (X,H), where X is a f...
AbstractThis paper revisits the existence and construction problems for polygonal designs (a special...
AbstractIn this paper we give an O(n2) algorithm to determine fixed bonds and normal subhexagonal sy...