Results 31 to 40 of about 212,144 (329)
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
openaire +1 more source
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
doaj +1 more source
Note: Sharp Upper and Lower Bounds on the Number of Spanning Trees in Cartesian Product of Graphs
Discussiones Mathematicae Graph Theory, 2013 Let G1 and G2 be simple graphs and let n1 = |V (G1)|, m1 = |E(G1)|, n2 = |V (G2)| and m2 = |E(G2)|. In this paper we derive sharp upper and lower bounds for the number of spanning trees τ in the Cartesian product G1 □G2 of G1 and G2. We show that: and .
Azarija Jernej
doaj +1 more source
Completely Independent Spanning Trees in (Partial) k-Trees
Discussiones Mathematicae Graph Theory, 2015 Two spanning trees T1 and T2 of a graph G are completely independent if, for any two vertices u and v, the paths from u to v in T1 and T2 are internally disjoint.
Matsushita Masayoshi +2 more
doaj +1 more source
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
doaj +1 more source
Sandpiles, spanning trees, and plane duality [PDF]
, 2014 Let G be a connected, loopless multigraph. The sandpile group of G is a finite abelian group associated to G whose order is equal to the number of spanning trees in G. Holroyd et al.
Chan, Melody +5 more
core +4 more sources
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
doaj +1 more source
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
doaj +1 more source
Faster generation of random spanning trees [PDF]
, 2009 In this paper, we set forth a new algorithm for generating approximately uniformly random spanning trees in undirected graphs. We show how to sample from a distribution that is within a multiplicative $(1+\delta)$ of uniform in expected time $\TO(m\sqrt ...
Kelner, Jonathan A., Madry, Aleksander
core +4 more sources
Embedding spanning trees in random graphs [PDF]
, 2010 We prove that if T is a tree on n vertices wih maximum degree D and the edge probability p(n) satisfies: np>c*max{D*logn,n^{\epsilon}} for some constant \epsilon>0, then with high probability the random graph G(n,p) contains a copy of T.
Krivelevich, Michael
core +1 more source