Results 41 to 50 of about 8,500 (116)
A Generalization of a Theorem of Diderrich in Additive Group Theory to Vertex-transitive Graphs
European Journal of Combinatorics, 1996 Consider a vertex-transitive (finite) directed graph \(X=(V,E)\). Let \(\kappa (X)\) be its connectivity number in directed sense. As known, each indegree and each outdegree in \(X\) equals \(|E|/ |X|\). Denote this number by \(d\). It is shown that \(d= \kappa (X)\) if there is no transitive triangle in \(X\).
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THE LOCATING RAINBOW CONNECTION NUMBERS OF LOLLIPOP AND BARBELL GRAPHS
BarekengThe concept of the locating rainbow connection number of a graph is an innovation in graph coloring theory that combines the concepts of rainbow vertex coloring and partition dimension on graphs.
Ariestha Widyastuty Bustan +4 more
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A SURVEY M-POLAR FUZZY GRAPHS [PDF]
Fiabilitate şi Durabilitate, 2019 I will begin with the presentation of the basic definitions required for the development of this survey- graph. Rosenfeld [17] first introduced the concept of fuzzy graphs. After that fuzzy graph theory becomes a vast research area.
Iuliana Carmen BĂRBĂCIORU
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On almost hypohamiltonian graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 A graph $G$ is almost hypohamiltonian (a.h.) if $G$ is non-hamiltonian, there exists a vertex $w$ in $G$ such that $G - w$ is non-hamiltonian, and $G - v$ is hamiltonian for every vertex $v \ne w$ in $G$. The second author asked in [J.
Jan Goedgebeur, Carol T. Zamfirescu
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Iwasawa theory for vertex-weighted graphs
29 pages, 8 ...
Murooka, Ryosuke, Tateno, Sohei
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Advancing Graph Theory with Genetic Algorithms: AFocus on Non-Inclusive Vertex Irregular Labeling
European Journal of Pure and Applied MathematicsNon-inclusive irregular vertex labeling is a labeling on a graph where the vertex labels are real numbers with weights. The weight is defined as the sum of the labels of the connected nodes. The main problem in labeling graphs is finding the formula to apply the required labeling rules.
Kiswara Agung Santoso +3 more
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Online Graph Topology Learning via Time-Vertex Adaptive Filters: From Theory to Cardiac Fibrillation
IEEE Transactions on Signal and Information Processing over NetworksGraph Signal Processing (GSP) provides a powerful framework for analysing complex, interconnected systems by modelling data as signals on graphs. While recent advances have enabled graph topology learning from observed signals, existing methods often struggle with time-varying systems and real-time applications. To address this gap, we introduce AdaCGP,
Alexander Jenkins +4 more
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Edge Irregular Reflexive Labeling for the Disjoint Union of Gear Graphs and Prism Graphs
Mathematics, 2018 In graph theory, a graph is given names—generally a whole number—to edges, vertices, or both in a chart. Formally, given a graph G = ( V , E ) , a vertex naming is a capacity from V to an arrangement of marks.
Xiujun Zhang +3 more
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-labeling of supersubdivided connected graph plus an edge
AKCE International Journal of Graphs and Combinatorics, 2020 Rosa, in his classical paper (Rosa, 1967) introduced a hierarchical series of labelings called and labeling as a tool to settle Ringel’s Conjecture which states that if is any tree with edges then the complete graph can be decomposed into copies of ...
G. Sethuraman, M. Sujasree
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“Follow the Leader”: A Centrality Guided Clustering and Its Application to Social Network Analysis
The Scientific World Journal, 2013 Within graph theory and network analysis, centrality of a vertex measures the relative importance of a vertex within a graph. The centrality plays key role in network analysis and has been widely studied using different methods.
Qin Wu +3 more
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