https://www.um.edu.mt/library/oar/handle/123456789/36078 2026-04-11T11:26:52Z https://www.um.edu.mt/library/oar/handle/123456789/24493 Title: The Collection IV Editors: Sciriha, Irene Abstract: Fourth issue of The Collection, a journal by the Department of Mathematics at the University of Malta. 2001-01-01T00:00:00Z https://www.um.edu.mt/library/oar/handle/123456789/24492 Title: The cantor set Abstract: Consider the following sets, where C1 is the real interval [0, 1] without the middle 1/3 of the interval, and Ck is constructed by removing 1/3 of each real interval in the union of intervals in Ck - 1. 2001-01-01T00:00:00Z https://www.um.edu.mt/library/oar/handle/123456789/24491 Title: Subgraphs Abstract: Let H be a graph and K be a subgraph of H. Let n(G) denote the number of vertices of a graph C and k(G) denote the number of components of G. Then n(K) - k(K) < n(H) - k(H). 2001-01-01T00:00:00Z https://www.um.edu.mt/library/oar/handle/123456789/24490 Title: Converse of Wilson's theorem Abstract: Theorem 1 (Wilson's Theorem) If p is prime, then (p - 1)! = -1 mod p. Theorem 2 (Converse to Theorem 1) If (p - 1)! = -1 mod p, then p is prime. 2001-01-01T00:00:00Z