(PDF) RECENT ADVANCES IN GRAPH THEORY AND ITS APPLICATIONS
This paper gives an overview of the applications of graph theory in heterogeneous fields to some extent but mainly focuses on the computer science applications that uses graph theoretical concepts.
Graph Theory: A Comprehensive Survey about Graph Theory Applications in
Graph theory (GT) concepts are potentially applicable in the field of computer science (CS) for many purposes. The unique applications of GT in the CS field such as clustering of web documents, cryptography, and analyzing an algorithm's execution, among others, are promising applications. Furthermore, GT concepts can be employed to electronic circuit simplifications and analysis. Recently ...
PDF Graph Theory and Its Applications
Graph Theory and Its Applications Crystal Egbunike and Wintana Tewolde May 2022 1 Introduction In this paper we will discuss how problems like Page ranking and finding the shortest paths can be solved by using Graph Theory. At its core, graph theory is the study of graphs as mathematical structures. In
PDF Research Topics in Graph Theory and Its Applications
in exploring new areas of graph theory and its applications. Ad-vanced students in graph theory may use the topics presented in this book to develop their nal-year projects, master's theses or doctoral dissertations. It is the author's hope that this publication of original re-search ideas, problems and conjectures will instigate further re-xi
Journal of Graph Theory
The Journal of Graph Theory is a high-calibre graphs and combinatorics journal publishing rigorous research on how these areas interact with other mathematical sciences. Our editorial team of influential graph theorists welcome submissions on a range of graph theory topics, such as structural results about graphs, graph algorithms with theoretical emphasis, and discrete optimization on graphs.
Explainable artificial intelligence through graph theory by ...
Graphs, social networks, and SNA. Social networks 6 form a subtype of network graphs that originated from graph theory. Graph theory is briefly the study of network graphs, which are mathematical ...
Applications of graph theory
Graph theory is used in organic chemistry, solid state physics and statistical mechanics, electrical engineering (communication networks and coding theory), optimization theory and operations research. The wide scope of these and other applications has been well documented [7 12]. The powerful combinatorial methods found in graph theory have ...
Advances in Graph Theory and Applications
01 January 2023. Submission deadline. Ongoing. This collection is open to research articles in all areas of graph theory and its applications to other fields. Topics of special interest are those related to the research fields of members of the AWM network "Women in Graph Theory and Applications" (WiGA), which include graph searching, graph ...
Graph Theory and Its Applications in Computing
It is observed that graph theory has been substantially employed in the areas of computing. The primary goal of this Special Issue is to gather the articles utilizing graph-theoretical concepts, methodologies, and advantages while solving problems to demonstrate the state-of-the-art applications of graph theory. Both the original research ...
Research Trends in Graph Theory and Applications
Her research lies at the intersection of combinatorics and geometry. She has published papers in matroid theory, graph theory, and combinatorial algorithms and her work is supported by theNational Science Foundation. Her book "Graphs and Networks" blends classical graph theory with modern network science and is available for preorder.
Applications of Algebraic Graph Theory and Its Related Topics
Applications of Algebraic Graph Theory and Its Related Topics. Special Issue Editors. Special Issue Information. Published Papers. A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematics and Computer Science". Deadline for manuscript submissions: closed (30 April 2024) | Viewed by 9908.
[PDF] Graph Theory with Applications
Computer Science. Social Network Analysis and Mining. 2018. TLDR. This paper generalizes graph concepts to cope with both intrinsically temporal and structural nature of interactions, and obtains a language to directly deal with interactions over time, similar to the language provided by graphs to deal with relations. Expand.
PDF A Literature Review on Applications of Graph Theory in Various Fields
classical problems and problems from an application. The classic problem is defined with the help of graph theory as connectivity, cut, path and flow, colororing problems and theoretical aspects of graph drawing. The problems from an application focus on experimental research and implementation of graphs theory algorithms [6].
Applications of Graph Theory in Computer Science an Overview
An overview of the applications of graph theory in heterogeneous fields to some extent is given but mainly focuses on the computer science applications that uses graph theoretical concepts. The field of mathematics plays vital role in various fields. One of the important areas in mathematics is graph theory which is used in structural models. This structural arrangements of various objects or ...
PDF Graph theory: Algorithms and applications
Abstract. Graph theory serves as a fundamental pillar in the realm of mathematics, offering a versatile framework for modeling complex systems and solving a myriad of real-world problems. This research paper delves into the rich landscape of graph theory, focusing on the development and application of advanced algorithms.
Graph Theory and Its Applications in Educational Research: A Review and
The number of papers applying graph theory was found to be relatively small except in sociology. Possible reasons for the paucity of applications in educational research are discussed, and the value and feasibility of achieving increased use of graph theory in this field are also pointed out.
The Applications of Graph Theory in Electric Network
Graph theory, which was originally a branch of mathematics, is now an interesting subject with a wide range of applications. It is an important tool for studying natural science, engineering technology, economic management, and social phenomena. In this paper, the specific applications of graph theory in the analysis and design of electrical network are introduced based on basic concepts and ...
PDF Relevance of graph theory in operational research
graph theory but more with using the results of graph theory to actually solve the problem. Not every conceivable graph theory applications are documented rather. Some of the major applications are presented to give anoverall flavor to this area. D. Graph theoretic Algorithms In this paper we adopt the following specialized definition of
Axioms
Feature papers represent the most advanced research with significant potential for high impact in the field. A Feature Paper should be a substantial original Article that involves several techniques or approaches, provides an outlook for future research directions and describes possible research applications. ... Interests: graph theory and its ...
Using simulation modeling to demonstrate the performance of graph
Models and metrics to measure ecological connectivity are now well-developed and widely used in research and applications to mitigate the ecological impacts of climate change and anthropogenic habitat loss. Despite the prevalent application of connectivity models, however, relatively little is known about the performance of these methods in predicting functional connectivity patterns and ...
Chemical applications of graph theory
Chemical graph theory applies this branch of mathematics to model molecules in order to study their various physical properties. A graph G = (V, E) consists of a set V of vertices (or nodes) and a set E of unordered pairs of distinct elements of V, which are the edges.In chemistry, the atoms of a molecule are represented by the vertices and the chemical bonds are represented by the edges.
Representing Information on DNA using Patterns Induced by Enzymatic
Enzymatic DNA labeling is a powerful tool with applications in biochemistry, molecular biology, biotechnology, medical science, and genomic research. This paper contributes to the evolving field of DNA-based data storage by presenting a formal framework for modeling DNA labeling in strings, specifically tailored for data storage purposes. Our approach involves a known DNA molecule as a ...
Mathematics
In this Special Issue, we welcome papers in graph theory with applications to biology, computer science, complex and social networks, engineering, and other areas. While papers with real-world applications are especially encouraged, papers with a theoretical focus but with potential applications will also be considered. Prof. Dr. Darren Narayan.
J. Imaging
(1) Problem Statement: In graph theory, the weighted Laplacian matrix is the most utilized technique to interpret the local and global properties of a complex graph structure within computer vision applications. However, with increasing graph nodes, the Laplacian matrix's dimensionality also increases accordingly. Therefore, there is always the "curse of dimensionality"; (2) Methodology ...
Research on Virus Propagation Network Intrusion Detection Based on
A Feature Paper should be a substantial original Article that involves several techniques or approaches, provides an outlook for future research directions and describes possible research applications. Feature papers are submitted upon individual invitation or recommendation by the scientific editors and must receive positive feedback from the ...
COMMENTS
This paper gives an overview of the applications of graph theory in heterogeneous fields to some extent but mainly focuses on the computer science applications that uses graph theoretical concepts.
Graph theory (GT) concepts are potentially applicable in the field of computer science (CS) for many purposes. The unique applications of GT in the CS field such as clustering of web documents, cryptography, and analyzing an algorithm's execution, among others, are promising applications. Furthermore, GT concepts can be employed to electronic circuit simplifications and analysis. Recently ...
Graph Theory and Its Applications Crystal Egbunike and Wintana Tewolde May 2022 1 Introduction In this paper we will discuss how problems like Page ranking and finding the shortest paths can be solved by using Graph Theory. At its core, graph theory is the study of graphs as mathematical structures. In
in exploring new areas of graph theory and its applications. Ad-vanced students in graph theory may use the topics presented in this book to develop their nal-year projects, master's theses or doctoral dissertations. It is the author's hope that this publication of original re-search ideas, problems and conjectures will instigate further re-xi
The Journal of Graph Theory is a high-calibre graphs and combinatorics journal publishing rigorous research on how these areas interact with other mathematical sciences. Our editorial team of influential graph theorists welcome submissions on a range of graph theory topics, such as structural results about graphs, graph algorithms with theoretical emphasis, and discrete optimization on graphs.
Graphs, social networks, and SNA. Social networks 6 form a subtype of network graphs that originated from graph theory. Graph theory is briefly the study of network graphs, which are mathematical ...
Graph theory is used in organic chemistry, solid state physics and statistical mechanics, electrical engineering (communication networks and coding theory), optimization theory and operations research. The wide scope of these and other applications has been well documented [7 12]. The powerful combinatorial methods found in graph theory have ...
01 January 2023. Submission deadline. Ongoing. This collection is open to research articles in all areas of graph theory and its applications to other fields. Topics of special interest are those related to the research fields of members of the AWM network "Women in Graph Theory and Applications" (WiGA), which include graph searching, graph ...
It is observed that graph theory has been substantially employed in the areas of computing. The primary goal of this Special Issue is to gather the articles utilizing graph-theoretical concepts, methodologies, and advantages while solving problems to demonstrate the state-of-the-art applications of graph theory. Both the original research ...
Her research lies at the intersection of combinatorics and geometry. She has published papers in matroid theory, graph theory, and combinatorial algorithms and her work is supported by theNational Science Foundation. Her book "Graphs and Networks" blends classical graph theory with modern network science and is available for preorder.
Applications of Algebraic Graph Theory and Its Related Topics. Special Issue Editors. Special Issue Information. Published Papers. A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematics and Computer Science". Deadline for manuscript submissions: closed (30 April 2024) | Viewed by 9908.
Computer Science. Social Network Analysis and Mining. 2018. TLDR. This paper generalizes graph concepts to cope with both intrinsically temporal and structural nature of interactions, and obtains a language to directly deal with interactions over time, similar to the language provided by graphs to deal with relations. Expand.
classical problems and problems from an application. The classic problem is defined with the help of graph theory as connectivity, cut, path and flow, colororing problems and theoretical aspects of graph drawing. The problems from an application focus on experimental research and implementation of graphs theory algorithms [6].
An overview of the applications of graph theory in heterogeneous fields to some extent is given but mainly focuses on the computer science applications that uses graph theoretical concepts. The field of mathematics plays vital role in various fields. One of the important areas in mathematics is graph theory which is used in structural models. This structural arrangements of various objects or ...
Abstract. Graph theory serves as a fundamental pillar in the realm of mathematics, offering a versatile framework for modeling complex systems and solving a myriad of real-world problems. This research paper delves into the rich landscape of graph theory, focusing on the development and application of advanced algorithms.
The number of papers applying graph theory was found to be relatively small except in sociology. Possible reasons for the paucity of applications in educational research are discussed, and the value and feasibility of achieving increased use of graph theory in this field are also pointed out.
Graph theory, which was originally a branch of mathematics, is now an interesting subject with a wide range of applications. It is an important tool for studying natural science, engineering technology, economic management, and social phenomena. In this paper, the specific applications of graph theory in the analysis and design of electrical network are introduced based on basic concepts and ...
graph theory but more with using the results of graph theory to actually solve the problem. Not every conceivable graph theory applications are documented rather. Some of the major applications are presented to give anoverall flavor to this area. D. Graph theoretic Algorithms In this paper we adopt the following specialized definition of
Feature papers represent the most advanced research with significant potential for high impact in the field. A Feature Paper should be a substantial original Article that involves several techniques or approaches, provides an outlook for future research directions and describes possible research applications. ... Interests: graph theory and its ...
Models and metrics to measure ecological connectivity are now well-developed and widely used in research and applications to mitigate the ecological impacts of climate change and anthropogenic habitat loss. Despite the prevalent application of connectivity models, however, relatively little is known about the performance of these methods in predicting functional connectivity patterns and ...
Chemical graph theory applies this branch of mathematics to model molecules in order to study their various physical properties. A graph G = (V, E) consists of a set V of vertices (or nodes) and a set E of unordered pairs of distinct elements of V, which are the edges.In chemistry, the atoms of a molecule are represented by the vertices and the chemical bonds are represented by the edges.
Enzymatic DNA labeling is a powerful tool with applications in biochemistry, molecular biology, biotechnology, medical science, and genomic research. This paper contributes to the evolving field of DNA-based data storage by presenting a formal framework for modeling DNA labeling in strings, specifically tailored for data storage purposes. Our approach involves a known DNA molecule as a ...
In this Special Issue, we welcome papers in graph theory with applications to biology, computer science, complex and social networks, engineering, and other areas. While papers with real-world applications are especially encouraged, papers with a theoretical focus but with potential applications will also be considered. Prof. Dr. Darren Narayan.
(1) Problem Statement: In graph theory, the weighted Laplacian matrix is the most utilized technique to interpret the local and global properties of a complex graph structure within computer vision applications. However, with increasing graph nodes, the Laplacian matrix's dimensionality also increases accordingly. Therefore, there is always the "curse of dimensionality"; (2) Methodology ...
A Feature Paper should be a substantial original Article that involves several techniques or approaches, provides an outlook for future research directions and describes possible research applications. Feature papers are submitted upon individual invitation or recommendation by the scientific editors and must receive positive feedback from the ...