$ k $-domination and total $ k $-domination numbers in catacondensed hexagonal systems
Copyright policy )$ k $-domination and total $ k $-domination numbers in catacondensed hexagonal systems
<abstract><p>In this paper we study the $ k $-domination and total $ k $-domination numbers of catacondensed hexagonal systems. More precisely, we give the value of the total domination number, we find upper and lower bounds for the $ 2 $-domination number and the total $ 2 $-domination number, characterizing the catacondensed hexagonal systems which attain these bounds, and we give the value of the $ 3 $-domination number for any catacondensed hexagonal system with a given number of hexagons. These results complete the study of $ k $-domination and total $ k $-domination of catacondensed hexagonal systems for all possible values of $ k $.</p></abstract>
- Pablo de Olavide University Spain
- University of Antioquia Colombia
Biochemistry, molecular biology, Systems biology, networks, hexagonal systems, upper bound, Constraint Satisfaction Problems, Domination analysis, Mathematical analysis, Graph, Upper and lower bounds, Value (mathematics), QA1-939, FOS: Mathematics, angular hexagon, lower bound, domination, catacondensed hexagonal systems, Crystallography, Chemical graph theory, Hexagonal crystal system, Graph Spectra and Topological Indices, Statistics, catacondensed hexagonal system, k-domination, hexagonal system, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), Vertex (graph theory), branching hexagon, Chemistry, Topological Data Analysis in Science and Engineering, Computational Theory and Mathematics, Combinatorics, Physical Sciences, Computer Science, \(k\)-domination number, Geometry and Topology, Classical flows, reactions, etc. in chemistry, TP248.13-248.65, Mathematics, Biotechnology, Graph Theory and Algorithms
Biochemistry, molecular biology, Systems biology, networks, hexagonal systems, upper bound, Constraint Satisfaction Problems, Domination analysis, Mathematical analysis, Graph, Upper and lower bounds, Value (mathematics), QA1-939, FOS: Mathematics, angular hexagon, lower bound, domination, catacondensed hexagonal systems, Crystallography, Chemical graph theory, Hexagonal crystal system, Graph Spectra and Topological Indices, Statistics, catacondensed hexagonal system, k-domination, hexagonal system, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), Vertex (graph theory), branching hexagon, Chemistry, Topological Data Analysis in Science and Engineering, Computational Theory and Mathematics, Combinatorics, Physical Sciences, Computer Science, \(k\)-domination number, Geometry and Topology, Classical flows, reactions, etc. in chemistry, TP248.13-248.65, Mathematics, Biotechnology, Graph Theory and Algorithms
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