Results 111 to 120 of about 6,572,416 (223)

A Study on Linguistic Z-Graph and Its Application in Social Networks

Mathematics
This paper presents a comprehensive study of the linguistic Z-graph, which is a novel framework designed to analyze linguistic structures within social networks. By integrating concepts from graph theory and linguistics, the linguistic Z-graph provides a
Rupkumar Mahapatra, Sovan Samanta, Madhumangal Pal, Tofigh Allahviranloo, Antonios Kalampakas   +4 more
doaj   +1 more source

Fractional Sturm-Liouville operators on compact star graphs

Demonstratio Mathematica
In this article, we examine two problems: a fractional Sturm-Liouville boundary value problem on a compact star graph and a fractional Sturm-Liouville transmission problem on a compact metric graph, where the orders αi{\alpha }_{i} of the fractional ...
Mutlu Gökhan, Uğurlu Ekin
doaj   +1 more source

Axiomatic characterization of the interval function of partial cubes and partial Hamming graphs

AKCE International Journal of Graphs and Combinatorics
Interval function of a graph is a well-known notion in metric graph theory and the axiomatic characterization using a set of first order axioms of different graph classes is an interesting problem in this area.
Jeny Jacob, Manoj Changat, Lekshmi Kamal K. Sheela, Abhirami R. S, Amrutha U.A.   +4 more
doaj   +1 more source

Game theoretic centrality of a directed graph vertices

Mathematical Game Theory and Applications
The paper considers a game theory approach to calculating the centrality value of the vertices in a directed graph, based on the number of vertex occurrences in fixed length paths. It is proposed to define vertex centrality as a solution of a cooperative game, where the characteristic function is given as the number of simple paths of fixed length in ...
Khitraya, V. A., Mazalov, V. V.
openaire   +3 more sources

The Subgraph Eigenvector Centrality of Graphs

20 pages, 5 ...
Zhang, Qingying, Sun, Lizhu, Bu, Changjiang   +2 more
openaire   +2 more sources

Accelerating knowledge graph and ontology engineering with large language models

Web Semantics
Large Language Models bear the promise of significant acceleration of key Knowledge Graph and Ontology Engineering tasks, including ontology modeling, extension, modification, population, alignment, as well as entity disambiguation.
Cogan Shimizu, Pascal Hitzler
doaj   +1 more source

Centrality Graph Shift Operators for Graph Neural Networks

Graph Shift Operators (GSOs), such as the adjacency and graph Laplacian matrices, play a fundamental role in graph theory and graph representation learning. Traditional GSOs are typically constructed by normalizing the adjacency matrix by the degree matrix, a local centrality metric.
Abbahaddou, Yassine, Malliaros, Fragkiskos D., Lutzeyer, Johannes F., Vazirgiannis, Michalis   +3 more
openaire   +2 more sources

A STUDY ON HARMONIOUS COLORING OF SNAKE DERIVED ARCHITECTURE [PDF]

Journal of Engineering Science and Technology, 2016
There are only few graphs which gives the precise value of the harmonious chromatic number. There are only few results concerning about this problem. We give the precise value of harmonious chromatic number of central graph of snake derived architecture.
FRANKLIN THAMIL SELVI M. S., AMUTHA A.
doaj  

Visual evaluation of graph representation learning based on the presentation of community structures

Visual Informatics
Various graph representation learning models convert graph nodes into vectors using techniques like matrix factorization, random walk, and deep learning. However, choosing the right method for different tasks can be challenging.
Yong Zhang, Lihong Cai, Yuhua Liu, Yize Li, Songyue Li, Yuming Ma, Yuwei Meng, Zhiguang Zhou   +7 more
doaj   +1 more source

Encoder embedding for general graph and node classification

Applied Network Science
Graph encoder embedding, a recent technique for graph data, offers speed and scalability in producing vertex-level representations from binary graphs.
Cencheng Shen
doaj   +1 more source