Existence of independent [1, 2]-sets in caterpillars
Document Type
Conference Proceeding
Publication Date
2-11-2016
Abstract
Given a graph G, a subset S ⊆ V (G) is an independent [1, 2]-set if no two vertices in S are adjacent and for every vertex ν ∈ V (G)\S, 1 ≤ |N(ν) ∩ S| ≤ 2, that is, every vertex ν ∈ V (G)\S is adjacent to at least one but not more than two vertices in S. In this paper, we discuss the existence of independent [1, 2]-sets in a family of trees called caterpillars.
Recommended Citation
Santoso, Eko Budi and Marcelo, Reginaldo M., (2016). Existence of independent [1, 2]-sets in caterpillars. Archīum.ATENEO.
https://archium.ateneo.edu/mathematics-faculty-pubs/45