3D model retrieval techniques can be classified as histogram-based, view-based and graph-based approaches. We propose a hybrid shape descriptor which combines the global and local radial distance features by utilizing the histogram-based and view-based approaches respectively. We define an area-weighted global radial distance with respect to the center of the bounding sphere of the model and en...

It is well known that the spectral radius of a tree whose maximum degree is∆ cannot exceed 2 √ ∆− 1. Similar upper bound holds for arbitrary planar graphs, whose spectral radius cannot exceed √ 8∆+10, and more generally, for all d-degenerate graphs, where the corresponding upper bound is √ 4d∆. Following this, we say that a graph G is spectrally d-degenerate if every subgraph H of G has spectra...

A topological descriptor is regarded as a numerical parameter derived by using mathematical tools from the molecular graph of different chemical structures. The theory paramount section chemistry. In this section, there are many parameters, that have very useful characteristics to study structure chemicals. article, we investigate indices concealed non-kekulean benzenoid hydrocarbon graph. We w...

in this paper a guided tabu search (gts) is utilized for optimal nodal ordering of finite element models (fems) leading to small profile for the stiffness matrices of the models. the search strategy is accelerated and a graph-theoretical approach is used as guidance. the method is evaluated by minimization of graph matrices pattern equivalent to stiffness matrices of finite element models. comp...

In scene parsing, the model is required to be able process complex multi-modal data such as images and contexts in real scenes, discover their implicit connections from objects existing scene. As a storage method that contains entity information relationship between entities, knowledge graph can well express semantic this paper, new multi-phase was proposed solve parsing tasks; first, used alig...

Introduced by Gutman in 2021, the Sombor index is a novel graph-theoretic topological descriptor possessing potential applications modeling of thermodynamic properties compounds. Let H k n be family graphs on order and number cutvertices having at least one cycle. In this paper, we present minimum indices n. The corresponding extremal have been characterized as well.

the aim of this paper is to analyze the undamped second order descriptor systems to show the possibility of transform an undamped second order descriptor system to a pure first order descriptor system ,on different ways, while stating some of its benefits. meanwhile we will introduce pure first order systems and undamped second order systems and indicate that under some assumptions every undamp...

In the crystal of the title salt, C3H11NOP(+)·NO3 (-), dicationic inversion dimers are head-to-tail connected by a pair of strong N-H⋯O hydrogen bonds. The resulting graph-set descriptor of this ring system is R 2 (2)(10). The nitrate counter-anions connect the dicationic dimers via N-H⋯O hydrogen bonds, forming two-dimensional networks in the bc plane.

The crystal structure of the title salt, C(3)H(11)NOP(+)·Cl(-), is primarily built from centrosymmetric dimers of two cations, connected head-to-tail by two charge-supported strong N-H⋯O hydrogen bonds, with a graph-set descriptor R(2) (2)(10). The chloride counter-anions connect these dimeric cationic units into chains along the a-axis direction.

The title compound, C(17)H(19)NO, crystallized with two mol-ecules per asymmetric unit. C-H⋯O hydrogen bonds lead to infinite chains along [100]. According to graph-set theory, the descriptor C(1) (1)(13)C(1) (1)(13) can be assigned.