Notes on growing a tree in a graph

L Devroye, V Dujmović, A Frieze… - Random Structures …, 2019 - Wiley Online Library
… We study the height of a spanning tree T of a graph G obtained by starting with a single
vertex of G and repeatedly selecting, uniformly at random, an edge of G with exactly one …

A note on" The comparability graph of a tree"

ES Wolk - Proceedings of the American Mathematical Society, 1965 - JSTOR
graph to be a comparability graph, but we shall not make use of these conditions here. …
We shall first show that the proof that a graph possesses a transitive orientation may always be …

How Fast Do Trees Grow? Using Tables and Graphs to Explore Slope

E Joram, V Oleson - Mathematics Teaching in the Middle School, 2007 - pubs.nctm.org
… to the left of their graphs so that they could simultaneously view both representations of the
age-height relationship for their tree. Note that we had set up the graphs for the students by …

Growing a tree from its branches

P Bose, G Toussaint - Journal of Algorithms, 1995 - Elsevier
tree, such that every line segment is a tree edge and the tree has … graph of the set of line
segments contains a spanning treeNote that for any point x lying inside lune(p, q), we have that …

[CITATION][C] A simple algorithm for listing all the trees of a graph

G Minty - IEEE Transactions on circuit theory, 2003 - ieeexplore.ieee.org
tree written at the bottom and should be transferred to an “answer pile” (ie, printed out). The
“working pile” tends to grow … This note introduces a formal extension to Bryant’s [l], [2] method …

The complexity of growing a graph

GB Mertzios, O Michail, G Skretas, PG Spirakis… - … on Algorithms and …, 2022 - Springer
Note that there is a natural trade-off between the number of slots and the number of excess
edges that are required to grow a target graph. … tree, planar and k-degenerate graph families …

Growing trees in child brains: graph theoretical analysis of electroencephalography-derived minimum spanning tree in 5-and 7-year-old children reflects brain …

M Boersma, DJA Smit, DI Boomsma… - Brain …, 2013 - liebertpub.com
… Figure 4 illustrates averaged SL matrices at 5 and 7 years in the alpha band along with the
associated trees. Note that the illustrated MST graph is constructed from averaged matrices at …

[PDF][PDF] Notes on growing a tree in a graph

LDVDA Frieze, AM Pat, MB Reed - Random Structures & Algorithms, 2018 - luc.devroye.org
… We study the height of a spanning tree T of a graph G obtained by starting with a single vertex
of G and repeatedly selecting, uniformly at random, an edge of G with exactly one endpoint in …

[BOOK][B] Graph theory for programmers: algorithms for processing trees

VN Kasyanov, VA Evstigneev - 2000 - books.google.com
… The maximal k for which the kth stratum is nonempty is called the height of a growing tree.
Any vertex of a growing tree can be regarded as the root of the subtree growing from this vertex…

Aesthetic tree patterns in graph theory

F Harary - Leonardo, 1971 - JSTOR
Graph theory is the area of mathematics which is growing most … first paragraph of the Preface
to my book Graph Theory [1]: … note that the prettiest an that tree No. 5, the s also considered …