Map** the brain imaging data to networks, where nodes represent anatomical brain
regions and edges indicate the occurrence of fiber tracts between them, has enabled an …

Recent studies of dynamic properties in complex systems point out the profound impact of
hidden geometry features known as simplicial complexes, which enable geometrically …

In this paper, we examine the Gutman–Milovanović index and establish new upper and
lower bounds for it. These bounds include terms related to the general sum connectivity …

Online social dynamics based on human endeavours exhibit prominent complexity in the
emergence of new features embodied in the appearance of collective social values. The …

Cooperative self-assembly is a ubiquitous phenomenon found in natural systems which is
used for designing nanostructured materials with new functional features. Its origin and …

Let $ G $ be a graph with the usual shortest-path metric. A graph is $\delta $-hyperbolic if for
every geodesic triangle $ T $, any side of $ T $ is contained in a $\delta $-neighborhood of …

If X is a geodesic metric space and 𝑥₁, 𝑥₂, 𝑥₃∈ 𝑋, a geodesic triangle 𝑇={𝑥₁, 𝑥₂,
𝑥₃} is the union of the three geodesics [𝑥₁𝑥₂],[𝑥₂𝑥₃] and [𝑥₃𝑥₁] in 𝑋. The space 𝑋 …

The transport of information packets in complex networks is a prototype system for the study
of traffic jamming, a nonlinear dynamic phenomenon that arises with increased traffic load …

If X is a geodesic metric space and x_1, x_2, x_3 ∈ X x 1, x 2, x 3∈ X, a geodesic triangle
T= x 1, x 2, x 3 is the union of the three geodesics x 1 x 2, x 2 x 3 and x 3 x 1 in X. The space …

The study of Gromov hyperbolic graphs has many applications. In this paper we study the
hyperbolicity constant of hexagonal systems. In particular, we compute the hyperbolicity …