Results 61 to 70 of about 25,369 (266)
Infinite Locally Random Graphs [PDF]
Internet Mathematics, 2006 Motivated by copying models of the web graph, Bonato and Janssen [Bonato and Janssen 03] introduced the following simple construction: given a graph G, for each vertex x and each subset X of its closed neighborhood, add a new vertex y whose neighbors are exactly X. Iterating this construction yields a limit graph ↑G. Bonato and Janssen claimed that the
Pierre Charbit, Alex D. Scott
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Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
wiley +1 more source
Discrete Mathematics, 1975 AbstractSome relations between the number of nodes and edges and the degrees of the nodes in infinite graphs are obtained. The structure of infinite connected graphs which have no- ∞ trails is investigated with the help of these. It is shown, for example, that any such graph G has |G| nodes of odd degree.
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Design and analysis strategies for robust microbiome ageing research
FEBS 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
Graph weights arising from Mayer and Ree-Hoover theories of virial expansions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We study graph weights (i.e., graph invariants) which arise naturally in Mayer's theory and Ree-Hoover's theory of virial expansions in the context of a non-ideal gas.
Amel Kaouche, Pierre Leroux
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Journal of Combinatorial Theory, 1967 AbstractThis expository article describes work which has been done on various problems involving infinite graphs, mentioning also a few unsolved problems or suggestions for future investigation.
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FEBS Letters, EarlyView.Cancer progression is regulated by the dynamic matrix code of the tumor microenvironment, which influences cellular behavior and disease development. Importantly, matrix remodeling in three‐dimensional cancer models more accurately reflects in vivo conditions compared to conventional two‐dimensional systems.
Sylvia Mangani +3 more
wiley +1 more source
An Ongoing Project to Improve the Rectilinear and the Pseudolinear Crossing Constants
Journal of Graph Algorithms and Applications, 2020 A drawing of a graph in the plane is pseudolinear if the edges of the drawing can be extended to doubly-infinite curves that form an arrangement of pseudolines, that is, any pair of these curves crosses precisely once.
Oswin Aichholzer +4 more
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Microbiome‐blood–brain barrier interactions in aging — mechanisms and therapeutic potential
FEBS Letters, EarlyView.Aging reshapes the gut microbiome (↓SCFA‐producing commensals; ↑pro‐inflammatory outputs), shifting circulating metabolites (↓SCFAs; ↑LPS, ↑TMAO, ↑PAA) that act at the BBB to increase nonspecific transcytosis, alter transport, and promote astrocyte reactivity, heightening brain vulnerability.
Daniel Cuervo‐Zanatta +3 more
wiley +1 more source
Journal of Mathematics, 2016 In this paper, a graph is assigned to any probability measure on the σ-algebra of Borel sets of a topological space. Using this construction, it is proved that given any number n (finite or infinite) there exists a nonregular graph such that its clique ...
A. Assari, M. Rahimi
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