2017 Furman University Faculty Scholarship Reception Program

On February 24, the Libraries and the Office of the Provost hosted Furman’s first Faculty Scholarship Reception to recognize and celebrate the scholarly publications and creative works of Furman faculty members. The reception, held in the Blackwell Atrium of the James B. Duke Library, showcased over 170 examples of scholarship published by 87 faculty members during the 2015 and 2016 calendar years. The following faculty provided four-minute presentations on their scholarly or creative works: Gil Allen, Faculty Emeritus, English Tami Blumenfield, Assistant Professor, Asian Studies Akan Malici, Associate Professor, Politics and International Affairs John Quinn, Assistant Professor, Biology Erin Wamsley, Assistant Professor, Psychology Mark Kilstofte, Professor, Musi

Guarded subgraphs and the domination game

Graph Theor

Guarded subgraphs and the domination game

Graph TheoryWe introduce the concept of guarded subgraph of a graph, which as a condition lies between convex and 2-isometric subgraphs and is not comparable to isometric subgraphs. Some basic metric properties of guarded subgraphs are obtained, and then this concept is applied to the domination game. In this game two players, Dominator and Staller, alternate choosing vertices of a graph, one at a time, such that each chosen vertex enlarges the set of vertices dominated so far. The aim of Dominator is that the graph is dominated in as few steps as possible, while the aim of Staller is just the opposite. The game domination number is the number of vertices chosen when Dominator starts the game and both players play optimally. The main result of this paper is that the game domination number of a graph is not smaller than the game domination number of any guarded subgraph. Several applications of this result are presented