Open Access. Powered by Scholars. Published by Universities.®

Other Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Articles 1 - 2 of 2

Full-Text Articles in Other Physical Sciences and Mathematics

A Complete Characterization Of Near Outer-Planar Graphs, Tanya Allen Lueder Genannt Luehr Nov 2018

A Complete Characterization Of Near Outer-Planar Graphs, Tanya Allen Lueder Genannt Luehr

Doctoral Dissertations

A graph is outer-planar (OP) if it has a plane embedding in which all of the vertices lie on the boundary of the outer face. A graph is near outer-planar (NOP) if it is edgeless or has an edge whose deletion results in an outer-planar graph. An edge of a non outer-planar graph whose removal results in an outer-planar graph is a vulnerable edge. This dissertation focuses on near outer-planar (NOP) graphs. We describe the class of all such graphs in terms of a finite list of excluded graphs, in a manner similar to the well-known Kuratowski Theorem for planar …


Encryption And Decryption Using Matricies, Amit Etiel, James Parsons, Shawn Jenkins-Edwards Jan 2018

Encryption And Decryption Using Matricies, Amit Etiel, James Parsons, Shawn Jenkins-Edwards

Math 365 Class Projects

Mathematician Lester Hill developed the Hill Cipher, the first mathematical encryption method ever developed, in 1929. This method was created in order to strengthen the level of security of previous methods and made it possible to encrypt more than three symbols at a time.