Symmetric regular cacti-properties and enumeration
Author
Vaidya, S. K.
Bantva, D.D.
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/114410.4067/S0716-09172012000300006
Abstract
A cactus is a connected graph whose all the blocks are isomorphic to cycle or complete graph on n vertices. We introduce symmetric regular cacti and a procedure for their construction. We discuss some characteristics of symmetric regular cacti. The number of symmetric regular cacti on given number of vertices are also enumerated. A possible application of present work to a real world problem for the committee formation is also suggested.