Topological properties of silicate networks

A Survey on Area Planning for Heterogeneous Networks

“…The Spidergon network and Honeycomb Torus network can be used to overcome the problems in handling the user density patterns, utilizing the available bandwidth effectively and improvising the efficiency. As a future enhancement the network cost analysis can be estimated for silicate network [12], circulant network [13], honeycomb network [15], hex derived network [1] and higher dimensional honeycomb network [14] with planar structure. As industrialist prefers planar graphs, the network cost estimation of planar graphs becomes vital.…”

“…In 2009 Paul Manuel and Indra Rajasingh [12] has studied the topological properties of silicate and oxide network. A silicate network is obtained from a honeycomb network HC(n) as shown in Figure 2 When all the silicon nodes from a silicate network are deleted new network is obtained called as an Oxide Network (Figure 3).…”

Power domination in certain chemical structures

“…The construction of a silicate network, denoted by SL(n), is described in [18]. The honeycomb network HC(1) is a hexagon.…”

“…Many chemical structures such as Sierpínski networks [21], silicate networks [18], tetrahedral diamond lattice [1] were modelled as graphs and studied. This motivated us to model polyphenylene dendrimers and ReO 3 lattice as graphs and as possible electrical power networks.…”

Embedding of Poly Honeycomb Networks and the Metric dimension of Star of David Network

“…Oxide network OX(n) and Dominating Oxide network DOX(n) are defined as in [36,10]. Now we shall find lower bound for the metric dimension of DD(n).…”