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On b-coloring of central graph of some graphs

open access: yesCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2018
Summary: The \(b\)-chromatic number of \(G\), denoted by \(\varphi(G)\), is the maximum \(k\) for which \(G\) has a \(b\)-coloring by \(k\) colors. A \(b\)-coloring of \(G\) by \(k\) colors is a proper \(k\)-coloring of the vertices of \(G\) such that in each color class \(i\) there exists a vertex \(x_i\) having neighbors in all the other \(k-1 ...
Kalpana, M., Vijayalakshmi, D.
openaire   +5 more sources

On central-peripheral appendage numbers of uniform central graphs [PDF]

open access: yesElectronic Journal of Graph Theory and Applications, 2020
In a uniform central graph (UCG) the set of eccentric vertices of a central vertex is the same for all central vertices. This collection of eccentric vertices is the centered periphery.
Sul-Young Choi, Jonathan Needleman
doaj   +3 more sources

On the Total Graph of Mycielski Graphs, Central Graphs and Their Covering Numbers

open access: yesDiscussiones Mathematicae Graph Theory, 2013
The technique of counting cliques in networks is a natural problem. In this paper, we develop certain results on counting of triangles for the total graph of the Mycielski graph or central graph of star as well as completegraph families.
Patil H.P., Pandiya Raj R.
doaj   +2 more sources

A Central Difference Graph Convolutional Operator for Skeleton-Based Action Recognition [PDF]

open access: yesIEEE transactions on circuits and systems for video technology (Print), 2021
This paper proposes a new graph convolutional operator called central difference graph convolution (CDGC) for skeleton based action recognition. It is not only able to aggregate node information like a vanilla graph convolutional operation but also ...
Shuangyan Miao   +4 more
semanticscholar   +1 more source

Rethinking the Expressive Power of GNNs via Graph Biconnectivity [PDF]

open access: yesInternational Conference on Learning Representations, 2023
Designing expressive Graph Neural Networks (GNNs) is a central topic in learning graph-structured data. While numerous approaches have been proposed to improve GNNs in terms of the Weisfeiler-Lehman (WL) test, generally there is still a lack of deep ...
Bohang Zhang   +3 more
semanticscholar   +1 more source

Energy-based Out-of-Distribution Detection for Graph Neural Networks [PDF]

open access: yesInternational Conference on Learning Representations, 2023
Learning on graphs, where instance nodes are inter-connected, has become one of the central problems for deep learning, as relational structures are pervasive and induce data inter-dependence which hinders trivial adaptation of existing approaches that ...
Qitian Wu   +3 more
semanticscholar   +1 more source

Commuting conjugacy classes graph of the generalized dihedral and dicyclic groups [PDF]

open access: yesریاضی و جامعه, 2023
Suppose $G$ is a finite non-abelian group and $\Gamma(G)$ is a simple graph with the non-central conjugacy classes of $G$ as its vertex set. Two different non-central conjugacy classes $A$ and $B$ are assumed to be adjacent if and only if there are ...
Mohammadali Salahshour
doaj   +1 more source

Efficient generation of entangled multiphoton graph states from a single atom [PDF]

open access: yesNature, 2022
The central technological appeal of quantum science resides in exploiting quantum effects, such as entanglement, for a variety of applications, including computing, communication and sensing1.
P. Thomas, L. Ruscio, O. Morin, G. Rempe
semanticscholar   +1 more source

ProvG-Searcher: A Graph Representation Learning Approach for Efficient Provenance Graph Search [PDF]

open access: yesConference on Computer and Communications Security, 2023
We present ProvG-Searcher, a novel approach for detecting known APT behaviors within system security logs. Our approach leverages provenance graphs, a comprehensive graph representation of event logs, to capture and depict data provenance relations by ...
Enes Altinisik, Fatih Deniz, H. Sencar
semanticscholar   +1 more source

Research on Imbalance Fraud Detection Based on Graph Neural Network [PDF]

open access: yesJisuanji gongcheng, 2023
Currently, graph neural network is widely used in fraud detection. Because of the class imbalance problem in fraud detection, the performance of the model based on graph neural network is poor. To solve these problems, an unbalanced fraud detection model
Anqi CHEN, Rui CHEN, Zhufang KUANG, Huajun HUANG
doaj   +1 more source

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