Results 41 to 50 of about 49,235 (305)
Spanning trees with a bounded number of leaves [PDF]
Opuscula Mathematica, 2017 In 1998, H. Broersma and H. Tuinstra proved that: Given a connected graph \(G\) with \(n\geq 3\) vertices, if \(d(u)+d(v)\geq n-k+1\) for all non-adjacent vertices \(u\) and \(v\) of \(G\) (\(k\geq 1\)), then \(G\) has a spanning tree with at most \(k ...
Junqing Cai +3 more
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Alternative Multiple Spanning Tree Protocol (AMSTP) for Optical Ethernet Backbones [PDF]
, 2004 The availability and affordable cost of Gigabit and 10 Gigabit Ethernet switches has impacted the deployment of metropolitan area networks (MAN) and campus networks.
García-Martínez, Alberto +4 more
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Chain-Constrained Spanning Trees [PDF]
Mathematical Programming, 2013 We consider the problem of finding a spanning tree satisfying a family of additional constraints. Several settings have been considered previously, the most famous being the problem of finding a spanning tree with degree constraints. Since the problem is hard, the goal is typically to find a spanning tree that violates the constraints as little as ...
Neil Olver, Rico Zenklusen
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Ramsey Spanning Trees and Their Applications [PDF]
ACM Transactions on Algorithms, 2018 The metric Ramsey problem asks for the largest subset S of a metric space that can be embedded into an ultrametric (more generally into a Hilbert space) with a given distortion. Study of this problem was motivated as a non-linear version of Dvoretzky theorem.
Ittai Abraham +4 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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On Independent [1, 2]-Sets in Trees
Discussiones Mathematicae Graph Theory, 2018 An [1, k]-set S in a graph G is a dominating set such that every vertex not in S has at most k neighbors in it. If the additional requirement that the set must be independent is added, the existence of such sets is not guaranteed in every graph.
Aleid Sahar A. +2 more
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Intersection of random spanning trees in complex networks
Applied Network Science, 2023 In their previous work, the authors considered the concept of random spanning tree intersection of complex networks (London and Pluhár, in: Cherifi, Mantegna, Rocha, Cherifi, Micciche (eds) Complex networks and their applications XI, Springer, Cham, 2023)
András London, András Pluhár
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Lower-Stretch Spanning Trees [PDF]
SIAM Journal on Computing, 2005 We prove that every weighted graph contains a spanning tree subgraph of average stretch O((log n log log n)^2). Moreover, we show how to construct such a tree in time O(m log^2 n).
Michael Elkin +3 more
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Spanning k-ended trees of 3-regular connected graphs
Electronic Journal of Graph Theory and Applications, 2017 A vertex of degree one is called an end-vertex and the set of end-vertices of G is denoted by End(G). For a positive integer k, a tree T be called k-ended tree if $|End(T)| \leq k$. In this paper, we obtain sufficient conditions for spanning k-trees of 3-
Hamed Ghasemian Zoeram, Daniel Yaqubi
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Computational Geometry, 2014 Two plane geometric graphs are said to be compatible when their union is a plane geometric graph. Let S be a set of n points in the Euclidean plane in general position and let T be any given plane geometric spanning tree of S. In this work, we study the problem of finding a second plane geometric tree T' spanning S, such that is compatible with T and ...
Garcia Olaverri, Alfredo Martin +3 more
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