Results 11 to 20 of about 48,244 (304)
Successive minimum spanning trees [PDF]
Random Structures & Algorithms, 2021 AbstractIn a complete graphwith independent uniform(or exponential) edge weights, letbe the minimum‐weight spanning tree (MST), andthe MST after deleting the edges of all previous trees. We show that each tree's weightconverges in probability to a constant, with, and we conjecture that.
Janson, Svante, Sorkin, Gregory B.
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Spanning trees with small diameters
AKCE International Journal of Graphs and Combinatorics, 2020 A spanning tree with small diameter of a graph has many applications. In this paper we first make the following conjecture and show that the condition is best possible if it is true. If a connected graph satisfies , then has a spanning tree with diameter
Mikio Kano, Hajime Matsumura
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Constructing Independent Spanning Trees on Pancake Networks
IEEE Access, 2020 For any graph G, the set of independent spanning trees (ISTs) is defined as the set of spanning trees in G. All ISTs have the same root, paths from the root to another vertex between distinct trees are vertex-disjoint and edge-disjoint.
Dun-Wei Cheng +2 more
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Graph node rank based important keyword detection from Twitter [PDF]
Applied Computing and Informatics, 2021 Social media networks like Twitter, Facebook, WhatsApp etc. are most commonly used medium for sharing news, opinions and to stay in touch with peers. Messages on twitter are limited to 140 characters.
Mukesh Kumar, Palak Rehan
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End‐faithful spanning trees in graphs without normal spanning trees [PDF]
Journal of Graph Theory, 2022 AbstractSchmidt characterised the class of rayless graphs by an ordinal rank function, which makes it possible to prove statements about rayless graphs by transfinite induction. Halin asked whether Schmidt's rank function can be generalised to characterise other important classes of graphs. In this paper, we address Halin's question: we characterise an
Carl Bürger, Jan Kurkofka
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Simultaneously dominating all spanning trees of a graph
Electronic Journal of Graph Theory and Applications, 2022 We investigate the problem of simultaneously dominating all spanning trees of a given graph. We prove that on 2-connected graphs, a subset of the vertices dominates all spanning trees of the graph if and only if it is a vertex cover.
Sebastian Johann +2 more
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Construction Algorithm of Completely Independent Spanning Tree in Dragonfly Network [PDF]
Jisuanji kexue, 2022 Dragonfly network,proposed by Kim et al.,is a topology for high-performance computer systems.In dragonfly network,compute nodes are attached to switches,the switches are organized into groups,and the network is organized as a two-level clique.There is a ...
BIAN Qing-rong, CHENG Bao-lei, FAN Jian-xi, PAN Zhi-yong
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Constructing Independent Spanning Trees on Transposition Networks
IEEE Access, 2020 In interconnection networks, data distribution and fault tolerance are crucial services. This study proposes an effective algorithm for improving connections between networks.
Chien-Fu Lin +2 more
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Polytechnic and Design, 2019 A campus network is an enterprise network that consist of many connected LANs that are all usually in the same geographic area. According to the Network Hierarchy, a campus network has three separated layers - Access Layer, Distribution Layer and Core Layer.
Jelečki, Nikola, Turkalj, Vedran
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Spanning Trees Minimizing Branching Costs [PDF]
Discrete Mathematics & Theoretical Computer ScienceThe Minimum Branch Vertices Spanning Tree problem aims to find a spanning tree $T$ in a given graph $G$ with the fewest branch vertices, defined as vertices with a degree three or more in $T$.
Luisa Gargano, Adele A. Rescigno
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