Results 51 to 60 of about 923,481 (280)
Journal of High Energy Physics, 2021 Acting on operators with a bare dimension ∆ ∼ N 2 the dilatation operator of U(N) N $$ \mathcal{N} $$ = 4 super Yang-Mills theory defines a 2-local Hamiltonian acting on a graph.
Robert de Mello Koch +2 more
doaj +1 more source
Spectral Dimension Reduction of Complex Dynamical Networks [PDF]
Physical Review X, 2018 Dynamical networks are powerful tools for modeling a broad range of complex systems, including financial markets, brains, and ecosystems. They encode how the basic elements (nodes) of these systems interact altogether (via links) and evolve (nodes ...
Edward Laurence +3 more
semanticscholar +1 more source
A central local metric dimension on acyclic and grid graph
AIMS Mathematics, 2023 The local metric dimension is one of many topics in graph theory with several applications. One of its applications is a new model for assigning codes to customers in delivery services. Let $ G $ be a connected graph and $ V(G) $ be a vertex set of $ G $.
Yuni Listiana +3 more
doaj +1 more source
The Application of Fault-Tolerant Partition Resolvability in Cycle-Related Graphs
Applied Sciences, 2022 The concept of metric-related parameters permeates all of graph theory and plays an important role in diverse networks, such as social networks, computer networks, biological networks and neural networks.
Kamran Azhar +4 more
doaj +1 more source
A Central Local Metric Dimension of Generalized Fan Graph, Generalized Broken Fan Graph, and Cm ⊙ K¯m [PDF]
E3S Web of ConferencesThe central local metric dimension is a new variation of local metric dimension that introduced in 2023. The central local metric dimension is a new concept that enriches research studies in graph theory, especially in the field of metric dimension. This
Listiana Yuni, Susilowati Liliek, Slamin
doaj +1 more source
A simpler proof for the dimension of the graph of the classical Weierstrass function
, 2017 . Let W λ,b (x) = (cid:2) ∞ n = 0 λ n g(b n x) where b ≥ 2 is an integer and g(u) = cos ( 2 πu) (classical Weierstrass function). Building on work by Ledrappier (In Symbolic Dynamics and Its Applications (1992) 285–293), Bara´nski, Bárány and Romanowska (
G. Keller
semanticscholar +1 more source
A mating-of-trees approach for graph distances in random planar maps [PDF]
Probability theory and related fields, 2017 We introduce a general technique for proving estimates for certain random planar maps which belong to the $$\gamma $$ γ -Liouville quantum gravity (LQG) universality class for $$\gamma \in (0,2)$$ γ ∈ ( 0 , 2 ) .
Ewain Gwynne, N. Holden, Xin Sun
semanticscholar +1 more source
The Metric Dimension of Algebraic Constructed Graph of Dihedral Group Dn
Scientific Annals of Computer ScienceIn this article, we discusses the concept of metric dimension in graph theory and its applications in various scientific fields. Metric dimension is the minimum number of vertices in a graph that can uniquely identify all other vertices based on their ...
Qammar Rubab, Saba Rao, Muhammad Ishtiaq
doaj +1 more source
On the anomalous dimensions of the multiple pomeron exchanges
, 2007 High energy hard scattering in large $N_{c}$ limit can be described by the QCD dipole model. In this paper, single, double and triple BFKL pomeron exchange amplitudes are computed explicitly within the dipole model.
Altarelli +64 more
core +1 more source