Results 51 to 60 of about 143,018 (267)
A Graph Theory of Rook Placements [PDF]
Two boards are rook equivalent if they have the same number of non-attacking rook placements for any number of rooks. Define a rook equivalence graph on an equivalence class of Ferrers boards by specifying that two boards are connected by an edge if you can obtain one of the boards by moving squares in the other board out of one column and into a ...
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Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai +4 more
wiley +1 more source
Comparative Study of Prism Octahedron Network via Eccentric Invariants
Topological indices are empirical features of graphs that characterize the topology of the graph and, for the most part, are graph independent. An important branch of graph theory is chemical graph theory.
Haidar Ali +5 more
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Generalized inverses in graph theory
–In this article, some interesting applications of generalized inverses in the graph theory are revisited. Interesting properties of generalized inverses are employed to make the proof of several known results simpler, and several techniques such as ...
Umashankara Kelathaya +2 more
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On a Connection of Number Theory with Graph Theory [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Somer, Lawrence, Křížek, Michal
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From mice to humans—divergent strategies for intestinal homeostasis and regeneration
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
AbstractA unified approach to a variety of graph-theoretic problems is introduced. The k-closure Ck(G) of a simple graph G of order n is the graph obtained from G by recursively joining pairs of nonadjacent vertices with degree-sum at least k. It is shown that, for many properties P, one can find a suitable value of k (depending on P and n) such that ...
J. Adrian Bondy, Vasek Chvátal
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Modelling stem cell differentiation related processes—A practical overview for biologists
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
SAMPLING THEORY FOR GRAPH SIGNALS ON PRODUCT GRAPHS [PDF]
Accepted to GlobalSIP ...
Rohan Varma, Jelena Kovacevic
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Design and analysis strategies for robust microbiome ageing research
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

