Full Friendly Index Sets of Spiders

Hiu-Fai Law1
1MATHEMATICAL INSTITUTE, OXFORD UNIVERSITY, 24-29 ST GILES’, OXFORD, OX1 3LB, United Kingdom

Abstract

We determine the full friendly index sets of spiders and disprove a conjecture by Lee and Salehi \([4]\) that the friendly index set of a tree forms an arithmetic progression.