Title
The Splitting Number of the 4-Cube
Abstract
. The splitting number of a graph G consists in the smallestpositive integer k 0, such that a planar graph can be obtained from Gby k splitting operations, such operation replaces v by two nonadjacentvertices v1 and v2 , and attaches the neighbors of v either to v1 or to v2 .One of the most useful graphs in computer science is the n--cube. Deanand Richter devoted an article to proving that the minimum number ofcrossings in an optimum drawing of the 4--cube is 8, but no results about...
Year
DOI
Venue
1998
10.1007/BFb0054317
LATIN
Keywords
Field
DocType
splitting number,planar graph
Graph theory,Integer,Complete bipartite graph,Discrete mathematics,Combinatorics,Vertex (geometry),Upper and lower bounds,Cubic graph,Planar graph,Mathematics,Cube
Conference
Volume
ISSN
ISBN
1380
0302-9743
3-540-64275-7
Citations 
PageRank 
References 
2
0.46
10
Authors
3