OAR@UM Community: /library/oar/handle/123456789/23567 2025-12-28T07:19:56Z 2025-12-28T07:19:56Z The Collection IV /library/oar/handle/123456789/24493 2022-10-05T12:23:31Z 2001-01-01T00:00:00Z 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 The cantor set /library/oar/handle/123456789/24492 2017-12-12T02:36:53Z 2001-01-01T00:00:00Z 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 Subgraphs /library/oar/handle/123456789/24491 2017-12-12T02:36:57Z 2001-01-01T00:00:00Z 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 Converse of Wilson's theorem /library/oar/handle/123456789/24490 2017-12-12T02:36:52Z 2001-01-01T00:00:00Z 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