The Catholic University of America

Seminar in Functional Analysis
and Related Areas

Wednesday, April 25, 2018
4:45 - 6:30 p.m. (including a coffee-break)
Aquinas Hall, Room 108

Speaker: Professor Kiran Bhutani, The Catholic University of America

Title: On ƒ-Domination in Graphs

Abstract: Let G = (V, E) be a graph and let ƒ be a family of subsets of V such that U_{F ∈ ƒ} = V. A dominating set D of G is called an ƒ-dominating set if D ∩ F is not empty for all F ∈ ƒ. The minimum cardinality of an ƒ-dominating of G is called the ƒ-domination number of G and is denoted by γ_{ƒ}(G). In this talk, we introduce this parameter and present several results.

Organizers:
V. Bogdan, The Catholic University of America
A. Levin, The Catholic University of America
R. Kalpathy, The Catholic University of America
P. Kainen, Georgetown University
A. Vogt, Georgetown University

Telephone: 202-319-5221
Fax: 202-319-5231
Email: levin@cua.edu