The fault‐tolerant beacon set of hexagonal Möbius ladder network

Nadeem, Muhammad Faisal; Azeem, Muhammad

doi:10.1002/mma.9091

Cited by 11 publications

(4 citation statements)

References 24 publications

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“…The main challenge in the medical knowledge fusion phase is to achieve accurate entity linkage. The possible causes are that the diversity of medical knowledge sources leads to serious multi-source referencing problems of medical entities in different data sources [30][31][32]. Therefore, how to link the extracted entities accurately and correctly to the medical knowledge base in a context-constrained manner is a common concern in the current academic community; (b) Storage method for the knowledge graph.…”

Section: Discussionmentioning

confidence: 99%

Research on Hierarchical Knowledge Graphs of Data, Information, and Knowledge Based on Multiple Data Sources

Liu

et al. 2023

Applied Sciences

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In the existing medical knowledge graphs, there are problems concerning inadequate knowledge discovery strategies and the use of single sources of medical data. Therefore, this paper proposed a research method for multi-data-source medical knowledge graphs based on the data, information, knowledge, and wisdom (DIKW) system to address these issues. Firstly, a reliable data source selection strategy was used to assign priorities to the data sources. Secondly, a two-step data fusion strategy was developed to effectively fuse the processed medical data, which is conducive to improving the quality of medical knowledge graphs. The proposed research method is for the design of a multi-data-source medical knowledge graph based on the DIKW system. The method was used to design a set of DIK three-layer knowledge graph architectures according to the DIKW system in line with the medical knowledge discovery strategy, employing a scientific method for expanding and updating knowledge at each level of the knowledge graph. Finally, question and answer experiments were used to compare the two different ways of constructing knowledge graphs, validating the effectiveness of the two-step data fusion strategy and the DIK three-layer knowledge graph.

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Section: Discussionmentioning

confidence: 99%

Research on Hierarchical Knowledge Graphs of Data, Information, and Knowledge Based on Multiple Data Sources

Liu

et al. 2023

Applied Sciences

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“…The parametric representation of various shapes and topologies has been discussed in various articles for simple polygons as common cross-section types [16,17] and also for more complex topologies consisting of multiple polygons such as hexagonal networks [18,19]. The knot positions of these for one or several polygons can be considered as control points for tensor product splines.…”

Section: State Of the Artmentioning

confidence: 99%

Symbolic Parametric Representation of the Area and the Second Moments of Area of Periodic B-Spline Cross-Sections

2023

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The calculation of moments of area is one of the most fundamental aspects of engineering mechanics for calculating the properties of beams or for the determination of invariants in different kind of geometries. While a variety of shapes, such as circles, rectangles, ellipses, or their combinations, can be described symbolically, such symbolic expressions are missing for freeform cross-sections. In particular, periodic B-spline cross-sections are suitable for an alternative beam cross-section, e.g., for the representation of topology optimization results. In this work, therefore, a symbolic description of the moments of area of various parametric representations of such B-splines is computed. The expressions found are then compared with alternative computational methods and checked for validity. The resulting equations show a simple method that can be used for the fast conceptual computation of such moments of area of periodic B-splines.

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“…Social networks can be modeled as graphs. For instance, research on graph density and the maximum number of edges in a graph might shed light on how social networks are connected [6][7][8]. In chemistry: Extremal graph theory is used to comprehend the structure of molecules.…”

Section: Introductionmentioning

confidence: 99%

A Unified Approach for Extremal General Exponential Multiplicative Zagreb Indices

Ismail

Azeem

Shang

et al. 2023

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The study of the maximum and minimal characteristics of graphs is the focus of the significant field of mathematics known as extreme graph theory. Finding the biggest or smallest graphs that meet specified criteria is the main goal of this discipline. There are several applications of extremal graph theory in various fields, including computer science, physics, and chemistry. Some of the important applications include: Computer networking, social networking, chemistry and physics as well. Recently, in 2021 exponential multiplicative Zagreb indices were introduced. In generalization, we introduce the generalized form of exponential multiplicative Zagreb indices for α∈R+\{1}. Furthermore, to see the behaviour of generalized first and second exponential Zagreb indices for α∈R+\{1}, we used a transformation method. In term of the two newly developed generalized exponential multiplicative Zagreb indices, we will investigate the extremal bicyclic, uni-cyclic and trees graphs. Four graph transformations are used and some bounds are presented in terms of generalized exponential multiplicative Zagreb indices.

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The fault‐tolerant beacon set of hexagonal Möbius ladder network

Cited by 11 publications

References 24 publications

Research on Hierarchical Knowledge Graphs of Data, Information, and Knowledge Based on Multiple Data Sources

Research on Hierarchical Knowledge Graphs of Data, Information, and Knowledge Based on Multiple Data Sources

Symbolic Parametric Representation of the Area and the Second Moments of Area of Periodic B-Spline Cross-Sections

A Unified Approach for Extremal General Exponential Multiplicative Zagreb Indices

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