Results 21 to 30 of about 49,235 (305)

Spanning trees of finite Sierpiński graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2006
We show that the number of spanning trees in the finite Sierpiński graph of level $n$ is given by $\sqrt[4]{\frac{3}{20}} (\frac{5}{3})^{-n/2} (\sqrt[4]{540})^{3^n}$.
Elmar Teufl, Stephan Wagner
doaj   +1 more source

On Polynomials of Spanning Trees [PDF]

open access: yesAnnals of Combinatorics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chung, Fan, Yang, Chao
openaire   +1 more source

Determining hop-constrained spanning trees with repetitive heuristics

open access: yesJournal of Telecommunications and Information Technology, 2023
The hop-constrained minimum spanning tree problem is the problem of determining a rooted spanning tree of minimum cost in which each path from the root node to any other node contains at most H hops or edges.
Manuela Fernandes   +2 more
doaj   +1 more source

Graph node rank based important keyword detection from Twitter [PDF]

open access: yesApplied 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
doaj   +1 more source

Constructing Independent Spanning Trees on Pancake Networks

open access: yesIEEE 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
doaj   +1 more source

End‐faithful spanning trees in graphs without normal spanning trees [PDF]

open access: yesJournal 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
openaire   +3 more sources

The Number of Spanning Trees in Generalized Complete Multipartite Graphs of Fan-Type [PDF]

open access: yes, 2011
Approaching topics such as connected simple graph, k-partite graph, complete graph, tree, Smarandache (E1,E2)-number of ...
Junliang Cai   +3 more
core   +1 more source

Spanning trees with small diameters

open access: yesAKCE 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
doaj   +1 more source

Estimating the weight of metric minimum spanning trees in sublinear time [PDF]

open access: yes, 2008
In this paper we present a sublinear-time $(1+\varepsilon)$-approximation randomized algorithm to estimate the weight of the minimum spanning tree of an $n$-point metric space. The running time of the algorithm is $\widetilde{\mathcal{O}}(n/\varepsilon^{\
Christian Sohler   +3 more
core   +1 more source

Some Characteristics of the Prime Graph of Integer Modulo Groups

open access: yesInPrime, 2023
The notion of the prime graph of a ring R was first introduced by Bhavanari, Kuncham, and Dasari in 2010. The prime graph of a ring R, denoted by PG(R) is a graph whose vertices are all elements of the ring, where two distinct vertices x and y are ...
Muklas Maulana   +3 more
doaj   +1 more source

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