A set S of vertices in a graph G is a global dominating set of G if 5 simultaneously dominates both G and its complement G. The minimum cardinality of a global dominating set of G is the global domination number of G. We study the graphs for which removing any arbitrary edge from G and adding it to G decreases the global domination number.
Identifer | oai:union.ndltd.org:ETSU/oai:dc.etsu.edu:etsu-works-11837 |
Date | 01 September 2017 |
Creators | Desormeaux, Wyatt J., Haynes, Teresa W., Van Der Merwe, Lucas |
Publisher | Digital Commons @ East Tennessee State University |
Source Sets | East Tennessee State University |
Detected Language | English |
Type | text |
Source | ETSU Faculty Works |
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