Thep-maxian problem on block graphs
β Scribed by Liying Kang; Yukun Cheng
- Publisher
- Springer US
- Year
- 2008
- Tongue
- English
- Weight
- 338 KB
- Volume
- 20
- Category
- Article
- ISSN
- 1382-6905
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G = (V,E) be a block graph. First we show that an algorithm for finding the path partition number p(G) by J.H. Yan and G.J. Chang gives wrong answers to some block graphs. Then we present an efficient algorithm for finding a minimum path partition of G (not just the path partition number p(G)).
Given a graph G we define its k-overlap graph as the graph whose vertices are the induced P 4 's of G and two vertices in the overlap graph are adjacent if the corresponding P 4 's in G have exactly k vertices in common. For k=1, 2, 3 we prove that if the k-overlap graph of G is bipartite then G is