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DM
2010
90views more  DM 2010»
13 years 7 months ago
The firefighter problem for cubic graphs
We show that the firefighter problem is NP-complete for cubic graphs. We also show that given a rooted tree of maximum degree three in which every leaf is the same distance from t...
Andrew King, Gary MacGillivray
CAGD
2007
75views more  CAGD 2007»
13 years 7 months ago
Computing roots of polynomials by quadratic clipping
We present an algorithm which is able to compute all roots of a given univariate polynomial within a given interval. In each step, we use degree reduction to generate a strip boun...
Michael Barton, Bert Jüttler
COR
2008
142views more  COR 2008»
13 years 7 months ago
Modeling and solving the rooted distance-constrained minimum spanning tree problem
In this paper we discuss models and methods for solving the rooted distance constrained minimum spanning tree problem which is defined as follows: given a graph G = (V, E) with no...
Luis Gouveia, Ana Paias, Dushyant Sharma
FOCS
2006
IEEE
14 years 1 months ago
Approximate Min-Max Theorems of Steiner Rooted-Orientations of Hypergraphs
Given an undirected hypergraph and a subset of vertices S ⊆ V with a specified root vertex r ∈ S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the...
Tamás Király, Lap Chi Lau
EJC
2007
13 years 7 months ago
An integrality theorem of root systems
Let Φ be an irreducible root system and ∆ be a base for Φ; it is well known that any root in Φ is an integral combination of the roots in ∆. In comparison to this fact, we ...
A. Bhattacharya, G. R. Vijayakumar