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DM
2010
90views more  DM 2010»
14 years 11 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»
14 years 11 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»
14 years 10 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
15 years 5 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
14 years 11 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