Almost all trees are decay-unstableRupnik Poklukar, Darja (Avtor) Žerovnik, Janez (Avtor) centrality measuredecay stabilitytreesDecay centrality is a centrality measure that was introduced to address the sensitivity of traditional closeness measures to distant vertices. We prove that almost all trees are not decay stable, confirming a conjecture of Coroničova Hurajová, Gago and Madaras (2018). A construction that generates all decay stable trees is also given.20262026-08-10 11:21:33Članek v reviji185570UDK: 519.172.1ISSN pri članku: 0025-5521DOI: 10.2140/mscand.2026.132.1COBISS_ID: 287350787sl