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DAM
2007
81views more  DAM 2007»
13 years 10 months ago
Graphs, partitions and Fibonacci numbers
The Fibonacci number of a graph is the number of independent vertex subsets. In this paper, we investigate trees with large Fibonacci number. In particular, we show that all trees...
Arnold Knopfmacher, Robert F. Tichy, Stephan Wagne...
DAM
2007
94views more  DAM 2007»
13 years 10 months ago
New formulations for the Kissing Number Problem
Determining the maximum number of D-dimensional spheres of radius r that can be adjacent to a central sphere of radius r is known as the Kissing Number Problem (KNP). The problem ...
Sergei Kucherenko, Pietro Belotti, Leo Liberti, Ne...
DAM
2008
131views more  DAM 2008»
13 years 11 months ago
Partition into cliques for cubic graphs: Planar case, complexity and approximation
Given a graph G = (V, E) and a positive integer k, the PARTITION INTO CLIQUES (PIC) decision problem consists of deciding whether there exists a partition of V into k disjoint sub...
Márcia R. Cerioli, L. Faria, T. O. Ferreira...
DAM
2007
70views more  DAM 2007»
13 years 10 months ago
Tree-edges deletion problems with bounded diameter obstruction sets
We study the following problem: Given a tree G and a finite set of trees H, find a subset O of the edges of G such that G − O does not contain a subtree isomorphic to a tree f...
Dekel Tsur
DAM
2007
153views more  DAM 2007»
13 years 10 months ago
Computing the minimum number of hybridization events for a consistent evolutionary history
It is now well-documented that the structure of evolutionary relationships between a set of present-day species is not necessarily tree-like. The reason for this is that reticulat...
Magnus Bordewich, Charles Semple