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

• المؤلف الرئيسي: Chien, Hans Steven Co
• التنسيق: text
• اللغة: English
• منشور في: Animo Repository 2020
• الموضوعات: Charts, diagrams, etc; Graphic methods; Mathematics
• الوصول للمادة أونلاين: 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

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...