Topological field theories in 2 dimensions [PDF]
22 pages, implemented the suggestion of the referee, to appear in the Proceedings of the 5-th ECM, Amsterdam (2008)
Thomas Nikolaus+3 more
openaire +32 more sources
Partition Resolvability of Nanosheet and Nanotube Derived from Octagonal Grid
Chemical graph theory, a branch of computational and applied mathematics, covers a very wide range of topics. As a result, the world of applied sciences heavily relies on graph theory.
Ali Al Khabyah+2 more
doaj +1 more source
On the metric dimension of Cartesian powers of a graph
A set of vertices $S$ resolves a graph if every vertex is uniquely determined by its vector of distances to the vertices in $S$. The metric dimension of a graph is the minimum cardinality of a resolving set of the graph.
Jiang, Zilin, Polyanskii, Nikita
core +1 more source
Search for the end of a path in the d-dimensional grid and in other graphs [PDF]
We consider the worst-case query complexity of some variants of certain \cl{PPAD}-complete search problems. Suppose we are given a graph $G$ and a vertex $s \in V(G)$.
Gerbner, Dániel+4 more
core +2 more sources
The power of microRNA regulation—insights into immunity and metabolism
MicroRNAs are emerging as crucial regulators at the intersection of metabolism and immunity. This review examines how miRNAs coordinate glucose and lipid metabolism while simultaneously modulating T‐cell development and immune responses. Moreover, it highlights how cutting‐edge artificial intelligence applications can identify miRNA biomarkers ...
Stefania Oliveto+2 more
wiley +1 more source
Topological Descriptor of 2-Dimensional Silicon Carbons and Their Applications
The Chemical graph theory is extensively used in finding the atomic supplementary properties of different chemical stuructures. Many results of graph theory are commonly used in molecular structures and in general in Chemisty.
Nadeem Muhammad+3 more
doaj +1 more source
Computing vertex resolvability of benzenoid tripod structure
In this paper, we determine the exact metric and fault-tolerant metric dimension of the benzenoid tripod structure. We also computed the generalized version of this parameter and proved that all the parameters are constant.
Maryam Salem Alatawi+4 more
doaj +1 more source
Bounded degree cosystolic expanders of every dimension [PDF]
In recent years a high dimensional theory of expanders has emerged. The notion of combinatorial expansion of graphs (i.e. the Cheeger constant of a graph) has seen two generalizations to high dimensional simplicial complexes. One generalization, known as
Shai Evra, T. Kaufman
semanticscholar +1 more source
The multiplicative coalescent, inhomogeneous continuum random trees, and new universality classes for critical random graphs [PDF]
One major open conjecture in the area of critical random graphs, formulated by statistical physicists, and supported by a large amount of numerical evidence over the last decade [23, 24, 28, 63] is as follows: for a wide array of random graph models with
Bhamidi, Shankar+2 more
core +3 more sources
Social context prevents heat hormetic effects against mutagens during fish development
This study shows that sublethal heat stress protects fish embryos against ultraviolet radiation, a concept known as ‘hormesis’. However, chemical stress transmission between fish embryos negates this protective effect. By providing evidence for the mechanistic molecular basis of heat stress hormesis and interindividual stress communication, this study ...
Lauric Feugere+5 more
wiley +1 more source