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» The vertex-cover polynomial of a graph
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DM
1998
56views more  DM 1998»
14 years 9 months ago
Factoring cardinal product graphs in polynomial time
In this paper a polynomial algorithm for the prime factorization of finite, connected nonbipartite graphs with respect to the cardinal product is presented. This algorithm also d...
Wilfried Imrich
ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
14 years 8 months ago
Deciding k-Colorability of P5-Free Graphs in Polynomial Time
The problem of computing the chromatic number of a P5-free graph (a graph which contains no path on 5 vertices as an induced subgraph) is known to be NP-hard. However, we show tha...
Chính T. Hoàng, Marcin Kaminski, Vad...
STACS
1994
Springer
15 years 1 months ago
On the Complexity of the Maximum Cut Problem
The complexity of the simple maxcut problem is investigated for several special classes of graphs. It is shown that this problem is NP-complete when restricted to one of the follo...
Hans L. Bodlaender, Klaus Jansen
CPC
2007
88views more  CPC 2007»
14 years 9 months ago
Zero-Free Intervals for Flow Polynomials of Near-Cubic Graphs
Let P(G,t) and F(G,t) denote the chromatic and flow polynomials of a graph G. G.D. Birkhoff and D.C. Lewis showed that, if G is a plane near triangulation, then the only zeros of...
Bill Jackson
JCT
2010
112views more  JCT 2010»
14 years 8 months ago
More on block intersection polynomials and new applications to graphs and block designs
The concept of intersection numbers of order r for t-designs is generalized to graphs and to block designs which are not necessarily t-designs. These intersection numbers satisfy ...
Leonard H. Soicher