Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
420607 | Discrete Applied Mathematics | 2008 | 12 Pages |
Abstract
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⩾2, while odd bags maximize the index of graphs with fixed number of vertices and radius ⩾3⩾3.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Pierre Hansen, Dragan Stevanović,