Total k-domination in Cartesian product graphs
Sign Up to like & getrecommendations! Published in 2017 at "Periodica Mathematica Hungarica"
DOI: 10.1007/s10998-017-0191-2
Abstract: Let $$G=(V,E)$$G=(V,E) be a graph. A set $$S\subseteq V$$S⊆V is a total k-dominating set if every vertex $$v\in V$$v∈V has at least k neighbors in S. The total k-domination number $$\gamma _{kt}(G)$$γkt(G) is the minimum… read more here.
Keywords: domination; total domination; domination number; cartesian product ... See more keywords
ON THE CROSSING NUMBER OF THE CARTESIAN PRODUCT OF A SUNLET GRAPH AND A STAR GRAPH
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972719000091
Abstract: The exact crossing number is only known for a small number of families of graphs. Many of the families for which crossing numbers have been determined correspond to cartesian products of two graphs. Here, the… read more here.
Keywords: number; product sunlet; crossing number; sunlet graph ... See more keywords
Design of coupling parameters for inducing amplitude death in Cartesian product networks of delayed coupled oscillators.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.042216
Abstract: The present study investigates amplitude death in Cartesian product networks of two subnetworks, where each subnetwork has a different coupling delay. The property of the Cartesian product helps us to analyze the stability of amplitude… read more here.
Keywords: death; cartesian product; product networks; death cartesian ... See more keywords
AN INTERMEDIATE VALUE PROPERTY OF FRACTAL DIMENSIONS OF CARTESIAN PRODUCT
Sign Up to like & getrecommendations! Published in 2017 at "Fractals"
DOI: 10.1142/s0218348x17500529
Abstract: Given two metric spaces E,F, it is well known that, dimHE +dimHF ≤ dimH(E × F) ≤dimHE +dimPF, dimHE +dimPF ≤ dimP(E × F) ≤dimPE +dimPF, where dimHE, dimPE denote, respectively, the Hausdorff and packing… read more here.
Keywords: dimpf; cartesian product; intermediate value; dimensions cartesian ... See more keywords
Connection Number- Based Topological Indices of Cartesian Product of Graphs
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Mathematics"
DOI: 10.1155/2023/8272936
Abstract: The area of graph theory (GT) is rapidly expanding and playing a significant role in cheminformatics, mostly in mathematics and chemistry to develop different physicochemical, chemical structure, and their properties. The manipulation and study of… read more here.
Keywords: chemistry; cbzi; cartesian product; graphs ... See more keywords
On the bounds of degree-based topological indices of the Cartesian product of F-sum of connected graphs
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1579-5
Abstract: Topological indices are the mathematical tools that correlate the chemical structure with various physical properties, chemical reactivity or biological activity numerically. A topological index is a function having a set of graphs as its domain and… read more here.
Keywords: topological indices; sum connected; index; cartesian product ... See more keywords
New Results on the Aggregation of Norms
Sign Up to like & getrecommendations! Published in 2021 at "Mathematics"
DOI: 10.3390/math9182291
Abstract: It is a natural question if a Cartesian product of objects produces an object of the same type. For example, it is well known that a countable Cartesian product of metrizable topological spaces is metrizable.… read more here.
Keywords: aggregation; cartesian product; topology; new results ... See more keywords
Selection on X1 + X2 + ⋯ + Xm via Cartesian product trees
Sign Up to like & getrecommendations! Published in 2021 at "PeerJ Computer Science"
DOI: 10.7717/peerj-cs.483
Abstract: Selection on the Cartesian product is a classic problem in computer science. Recently, an optimal algorithm for selection on A + B, based on soft heaps, was introduced. By combining this approach with layer-ordered heaps… read more here.
Keywords: cartesian product; selection; selection via; via cartesian ... See more keywords