3 papers
math.GN2026
Maximal Center of Distances of Finite Ultrametric Spaces and Perfect Binary Trees
Oleksiy Dovgoshey, Navjay Singh Jaiswal, Surinder Pal Singh Kainth +2
We investigate the finite ultrametric spaces that have a given cardinality of the center of distances and a minimal cardinality of the set . It is shown that such spaces…
math.GN2026
Konig's Infinity Lemma for locally finite ultrametric spaces generated by labeled trees
Oleksiy Dovgoshey, Olga Rovenska
We analyze the interplay between labeled trees and the ultrametric spaces they present. We provide characterizations of labeled trees that generate separable ultrametric spaces and…
cond-mat.mtrl-sci2026
Decoupling dislocation multiplication and velocity effects in metals at extreme strain rates
Daniyar Syrlybayev, Lavanya Raman, Niraj Pramod Atale +4
The dynamic behavior of metals is governed by collective dislocation motion and interactions that strongly depend on the applied strain rate. Metals exhibit weak strain rate sensit…