Average Degree in Graph Powers
β Scribed by Matt DeVos; Jessica McDonald; Diego Scheide
- Book ID
- 112121100
- Publisher
- John Wiley and Sons
- Year
- 2012
- Tongue
- English
- Weight
- 547 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract A vertex __v__ of a graph __G__ is called __groupie__ if the average degree __t__~__v__~ of all neighbors of __v__ in __G__ is not smaller than the average degree __t__~__G__~ of __G.__ Every graph contains a groupie vertex; the problem of whether or not every simple graph on β§2 vertice
## Abstract Improper choosability of planar graphs has been widely studied. In particular, Ε krekovski investigated the smallest integer __g__~k~ such that every planar graph of girth at least __g__~k~ is __k__βimproper 2βchoosable. He proved [9] that 6ββ€β__g__~1~ β€β9; 5ββ€β __g__~2~ββ€β7; 5ββ€β__g__~3