Proceedings of the Mathematics, Informatics, Science, and Education International Conference (MISEIC 2018)

Session: Pure and Applied Mathematics

2 articles
Proceedings Article

Properties of Anti-Adjacency Matrix of Cyclic Directed Windmill Graph K ⃗(4,n)

Muhammad Sabili Robbi Solihin, S Aminah, Suarsi Utama
Anti-adjacency matrix is a way to represent a directed graph as a square matrix, whose entries show whether there is a directed edge from a vertex to another one. This paper focuses on the properties of anti-adjacency matrix of windmill graph (4,), such as its characteristic polynomial and eigenvalues....
Proceedings Article

Graceful Labelling of Corona Product of Aster Flower Graph

Elvi Khairunnisa, Kiki Ariyanti Sugeng
There are many graph labelling that have been developed, one of which is a graceful labelling. A graceful labelling of a graph G=(V,E) with E edges is an injectivef:V(G)→{0,1,…,|E|} that the resulting edge labels obtained by |f(u)-f(v)| on each edgesuv are pairwise distinct. An aster flower graph (A_((m,n)...