Results 41 to 50 of about 2,542,324 (299)
Computing Fault-Tolerant Metric Dimension of Connected Graphs
For a connected graph, the concept of metric dimension contributes an important role in computer networking and in the formation of chemical structures.
Uzma Ahmad +3 more
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On Resolvability- and Domination-Related Parameters of Complete Multipartite Graphs
Graphs of order n with fault-tolerant metric dimension n have recently been characterized.This paper points out an error in the proof of this characterization. We show that the complete multipartite graphs also have the fault-tolerant metric dimension n,
Sakander Hayat, Asad Khan, Yubin Zhong
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Mixed metric dimension of graphs [PDF]
arXiv admin note: text overlap with arXiv:1602 ...
Aleksander Kelenc +3 more
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A Graph Theoretic Perspective on CPM(Rel) [PDF]
Mixed states are of interest in quantum mechanics for modelling partial information. More recently categorical approaches to linguistics have also exploited the idea of mixed states to describe ambiguity and hyponym / hypernym relationships.
Daniel Marsden
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Uniform Mixing on Cayley Graphs
We provide new examples of Cayley graphs on which the quantum walks reach uniform mixing. Our first result is a complete characterization of all $2(d+2)$-regular Cayley graphs over $\mathbb{Z}_3^d$ that admit uniform mixing at time $2\pi/9$. Our second result shows that for every integer $k\ge 3$, we can construct Cayley graphs over $\mathbb{Z}_q^d ...
Chris D. Godsil, Hanmeng Zhan
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Minimum Cycle Base of Graphs Identified by Two Planar Graphs [PDF]
In this paper, we study the minimum cycle base of the planar graphs obtained from two 2-connected planar graphs by identifying an edge (or a cycle) of one graph with the corresponding edge (or cycle) of another, related with map geometries, i.e ...
Han, Ren, Dengju, Ma
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A Study on Semi-directed Graphs for Social Media Networks
In the literature of graph theory, networks are represented as directed graphs or undirected graphs and a mixed of both combinations. In today's era of computing, networks like brain and facebook that do not belong to any of the mentioned networks ...
Sovan Samanta +4 more
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Parameterized Mixed Graph Coloring [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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In this study, in order to explore ways that statistical graphs teaching in elementary mathematics education can be improved, first, the types of statistical graphs that appear in middle school social textbooks were examined, and second, the ...
Byungjoo Tak, Eun-Sung Ko
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Research and Application of Hypernetwork Energy
Graph energy plays an important role in research of graph theory. Graph energy and many other similar variants have been applied in many other types of graphs, e.g., undirected graphs, oriented graphs, mixed graphs, and so on.
LIU Shengjiu, LI Tianrui, LIU Jia, XIE Peng
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