Results 21 to 30 of about 70,409 (209)

Poincar\'e recurrence theorem and the strong CP-problem [PDF]

open access: yes, 2006
The existence in the physical QCD vacuum of nonzero gluon condensates, such as $$, requires dominance of gluon fields with finite mean action density. This naturally allows any real number value for the unit ``topological charge'' $q$ characterising the ...
Alex C. Kalloniatis   +5 more
core   +2 more sources

Conditional resolvability in graphs: a survey

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2004
For an ordered set W={w1,w2,…,wk} of vertices and a vertex v in a connected graph G, the code of v with respect to W is the k-vector cW(v)=(d(v,w1),d(v,w2),…,d(v,wk)), where d(x,y) represents the distance between the vertices x and y.
Varaporn Saenpholphat, Ping Zhang
doaj   +1 more source

Partition Dimension of Generalized Hexagonal Cellular Networks and Its Application

open access: yesIEEE Access
The notion of partition dimension was initially introduced in the field of graph theory, primarily to examine distances between vertices. The local partition dimension extends this idea by incorporating specific conditions into how vertices are ...
Rabnawaz Bhatti   +3 more
doaj   +1 more source

Trees with Certain Locating-chromatic Number

open access: yesJournal of Mathematical and Fundamental Sciences, 2016
The locating-chromatic number of a graph G can be defined as the cardinality of a minimum resolving partition of the vertex set V(G) such that all vertices have distinct coordinates with respect to this partition and every two adjacent vertices in G are ...
Dian Kastika Syofyan   +2 more
doaj   +1 more source

On the Locating Chromatic Number of Certain Barbell Graphs

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2018
The locating chromatic number of a graph G is defined as the cardinality of a minimum resolving partition of the vertex set V(G) such that all vertices have distinct coordinates with respect to this partition and every two adjacent vertices in G are not ...
Asmiati   +2 more
doaj   +1 more source

THE PARTITION DIMENSION OF CYCLE BOOKS GRAPH B_(m,n) WITH A COMMON PATH P_2

open access: yesBarekeng
Suppose  is a connected graph with  elements of a set of vertices  denoted by  and  a subset of . The distance between  and  is the shortest distance  to every vertex  in . Let  be a partition of , where each subset  belongs to .
Jaya Santoso, Darmaji Darmaji
doaj   +1 more source

On the strong partition dimension of graphs [PDF]

open access: yes, 2013
We present a different way to obtain generators of metric spaces having the property that the ``position'' of every element of the space is uniquely determined by the distances from the elements of the generators.
Yero, Ismael Gonzalez
core  

The (Glg)ABCs of cyanobacteria: modelling of glycogen synthesis and functional divergence of glycogen synthases in Synechocystis sp. PCC 6803

open access: yesFEBS Letters, EarlyView.
We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee   +3 more
wiley   +1 more source

Organizing the interface—Plasma membrane architecture and receptor dynamics in virus‐cell interactions

open access: yesFEBS Letters, EarlyView.
Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley   +1 more source

The Mixed Partition Dimension: A New Resolvability Parameter in Graph Theory

open access: yesIEEE Access
In this article, we introduce a novel graph-theoretical parameter called the mixed partition dimension and apply it to the path graph and the hexagonal network.
Siti Norziahidayu Amzee Zamri   +4 more
doaj   +1 more source

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