Independent [1,2]-sets in some classes of cactus graphs

• 主要作者: Chien, Hans Steven Co
• 格式: text
• 語言: English
• 出版: Animo Repository 2020
• 主題: Charts, diagrams, etc; Graphic methods; Mathematics
• 在線閱讀: https://animorepository.dlsu.edu.ph/etd_masteral/5984; https://animorepository.dlsu.edu.ph/context/etd_masteral/article/13088/viewcontent/Co_Chien_Hans_Steven_11698306_Partial.pdf
• 機構: De La Salle University

A [1, 2]-set S in a graph G is a vertex subset such that every vertex not in S has at least one and at most two neighbours in it. If the additional requirement that the set be independent is added, the existence of such a set is not guaranteed in every graph. In this paper, we study the existence of...