View Proposal #174

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ID174
First NameRyan
Last NameMartin
InstitutionIowa State University
Speaker Categoryfaculty
Title of TalkVertex identifying codes in graphs: definitions, theorems and open problems
AbstractIn 1998, Karpovsky, Chakrabarty and Levitin introduced a new graph invariant called the vertex identification code. If C is a subset of the vertices, then C is a vertex-identifying code if each set N[v]\cap C is distinct and nonempty, where N[v] denotes the closed neighborhood of vertex v. We will discuss a number of results on the size of the smallest code in a graph, particularly on the Erdos-Renyi random graph and we will present open problems.
Subject area(s)Graph Theory
Suitable for undergraduates?No
Day Preference
Computer Needed?
Bringing a laptop?
Overhead Needed?
Software requests
Special Needs
Date Submitted3/20/2006
Year2006