Results 51 to 60 of about 177,806 (308)

Steiner Wiener index of graph products [PDF]

open access: yesTransactions on Combinatorics, 2016
The Wiener index W(G) of a connected graph G‎ ‎is defined as W(G)=∑u,v∈V(G)dG(u,v)‎ ‎where dG(u,v) is the distance between the vertices u and v of‎ ‎G‎.
Yaoping Mao, Zhao Wang, Ivan Gutman
doaj  

Distance Critical Graphs

open access: yesGraphs and Combinatorics
Abstract In 1971, Graham and Pollak provided a formula for the determinant of the distance matrix of any tree on n vertices. Yan and Yeh reproved this by exploiting the fact that pendant vertices can be deleted from trees without changing the remaining entries of the distance matrix.
Joshua N. Cooper, Gabrielle Tauscheck
openaire   +2 more sources

On the distance spectra of graphs

open access: yesLinear Algebra and its Applications, 2016
20 pages, 3 figures v2.
Aalipour, Ghodratollah   +10 more
openaire   +4 more sources

From mice to humans—divergent strategies for intestinal homeostasis and regeneration

open access: yesFEBS Letters, EarlyView.
Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa   +2 more
wiley   +1 more source

On Some Distance Spectral Characteristics of Trees

open access: yesAxioms
Graham and Pollack in 1971 presented applications of eigenvalues of the distance matrix in addressing problems in data communication systems. Spectral graph theory employs tools from linear algebra to retrieve the properties of a graph from the spectrum ...
Sakander Hayat   +2 more
doaj   +1 more source

Metrics for Single-Edged Graphs over a Fixed Set of Vertices

open access: yesMathematical and Computational Applications, 2018
Graphs have powerful representations of all kinds of theoretical or experimental mathematical objects. A technique to measure the distance between graphs has become an important issue.
Ray-Ming Chen
doaj   +1 more source

Variation of sum of two largest eigenvalues of the distance matrices of four-leaf graph

open access: yesJournal of Hebei University of Science and Technology, 2020
In order to accurately obtain the extremum of the distance eigenvalues of fowr-leaf graphs under tow graph transformations in any case, two graph transformations of four-leaf graphs and the results of the above problems were given by using the properties
Zhe LYU, Yubin GAO
doaj   +1 more source

A Shapley distance in graphs

open access: yesInformation Sciences, 2018
Ministerio de Ciencia e Innovación ECO2013-17766 ...
José Manuel, Gallardo   +2 more
openaire   +3 more sources

Design and analysis strategies for robust microbiome ageing research

open access: yesFEBS Letters, EarlyView.
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik   +5 more
wiley   +1 more source

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