Given a graph with n nodes and minimum degree 6, we give a polynomial time algorithm that constructs a partition of the nodes of the graph into two sets X and Y such that the sum of the minimum degrees in X and in Y is at least 6 and the cardinalities of X and Y differ by at most 6 (6 + 1 if n ~ 6 (
โฆ LIBER โฆ
Partitioning and coloring graphs with degree constraints
โ Scribed by Rabern, Landon
- Book ID
- 120522459
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 400 KB
- Volume
- 313
- Category
- Article
- ISSN
- 0012-365X
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Sheehan, J., Balanced graphs with minimum degree constraints, Discrete Mathematics 102 (1992) 307-314. Let G be a finite simple graph on n vertices with minimum degree 6 = 6(G) (n = 6 (mod 2)). Suppose that 0 < 6 c n -2, 06 i 4 [?Sl. A partition (x, Y) of V(G) is said to be an (i, a)-partition of G