G-2005-44
Variable Neighborhood Search for Extremal Graphs. 15. On Bags and Bugs
and BibTeX reference
Usual graph classes, such as complete graphs, paths, cycles and stars, frequently appear as extremal graphs in graph theory problems. Here we want to turn the reader’s attention to two novel, simply defined, graph classes that appear as extremal graphs in several graph theory problems. We call them bags and bugs. As examples of problems where bags and bugs appear, we show that balanced bugs maximize the index of graphs with fixed number of vertices and diameter >= 2, while odd bags maximize the index of graphs with fixed number of vertices and radius >= 3.
Published May 2005 , 22 pages
Research Axes
Research applications
Publication
Jan 2008
On bags and bugs
and
Discrete Applied Mathematics, 156(7), 986–997, 2008
BibTeX reference