Relationships Between Different Expansion Properties
The expansion parameters defined above are related to each other. In particular, for any -regular graph ,
Consequently, for constant degree graphs, vertex and edge expansion are qualitatively the same.
Read more about this topic: Expander Graph
Famous quotes containing the words expansion and/or properties:
“We are caught up Mr. Perry on a great wave whether we will or no, a great wave of expansion and progress. All these mechanical inventionstelephones, electricity, steel bridges, horseless vehiclesthey are all leading somewhere. Its up to us to be on the inside in the forefront of progress.”
—John Dos Passos (18961970)
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (18031882)