Results 51 to 60 of about 345,858 (279)

Critical temperatures of the Ising model on Sierpiñski fractal lattices [PDF]

EPJ Web of Conferences, 2020
We report our latest results of the spectra and critical temperatures of the partition function of the Ising model on deterministic Sierpiñski carpets in a wide range of fractal dimensions. Several examples of spectra are given.
Perreau Michel
doaj   +1 more source

Extremal sizes of subspace partitions

, 2011
A subspace partition $\Pi$ of $V=V(n,q)$ is a collection of subspaces of $V$ such that each 1-dimensional subspace of $V$ is in exactly one subspace of $\Pi$. The size of $\Pi$ is the number of its subspaces.
Heden, Olof, Lehmann, Juliane, Nastase, Esmeralda, Sissokho, Papa   +3 more
core   +1 more source

Partition dimension of trees - palm approach

Electronic Journal of Graph Theory and Applications
Summary: The partition dimension of a graph is the minimum number of vertex partitions such that every vertex has different distances to the ordered partitions. Many resolving partitions for trees have all vertices not in an end-path in the same partition. This reduces the problem of the partition dimension of trees into finding the partition dimension
Hafidh, Yusuf, Baskoro, Edy Tri
openaire   +2 more sources

Partitions in More than One Dimension

Journal of the Royal Statistical Society Series B: Statistical Methodology, 1956
Summary Several important properties are derived for the new partitional functions introduced by Fisher (1950) in his enumeration of the number of partitions of an integer in an arbitrary number of dimensions. These functions readily lead to the enumeration of the number of partitions of an integer in more than one dimension and with ...
openaire   +2 more sources

Coarse dimensions and partitions of unity [PDF]

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2008
Gromov \cite{Gr$_1$} and Dranishnikov \cite{Dr$_1$} introduced asymptotic and coarse dimensions of proper metric spaces via quite different ways. We define coarse and asymptotic dimension of all metric spaces in a unified manner and we investigate relationships between them generalizing results of Dranishnikov \cite{Dr$_1$} and Dranishnikov-Keesling ...
Brodskiy, N., Dydak, J.
openaire   +2 more sources

Reciprocal control of viral infection and phosphoinositide dynamics

FEBS Letters, EarlyView.
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley   +1 more source

Krausz dimension and its generalizations in special graph classes [PDF]

, 2011
A {\it krausz $(k,m)$-partition} of a graph $G$ is the partition of $G$ into cliques, such that any vertex belongs to at most $k$ cliques and any two cliques have at most $m$ vertices in common. The {\it $m$-krausz} dimension $kdim_m(G)$ of the graph $G$
Glebova, Olga, Metelsky, Yury, Skums, Pavel   +2 more
core   +1 more source

Diversity and complexity in neural organoids

FEBS Letters, EarlyView.
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley   +1 more source

Linking neurogenesis, oligodendrogenesis, and myelination defects to neurodevelopmental disruption in primary mitochondrial disorders

FEBS Letters, EarlyView.
Mitochondrial remodeling shapes neural and glial lineage progression by matching metabolic supply with demand. Elevated OXPHOS supports differentiation and myelin formation, while myelin compaction lowers mitochondrial dependence, revealing mitochondria as key drivers of developmental energy adaptation.
Sahitya Ranjan Biswas, Porter L. Tomsick, Alicia M. Pickrell, Paul D. Morton   +3 more
wiley   +1 more source

The locating-chromatic number and partition dimension of fibonacene graphs

Indonesian Journal of Combinatorics, 2020
Fibonacenes are unbranched catacondensed benzenoid hydrocarbons in which all the non-terminal hexagons are angularly annelated. A hexagon is said to be angularly annelated if the hexagon is adjacent to exactly two other hexagons and possesses two ...
Ratih Suryaningsih, Edy Tri Baskoro
doaj   +1 more source