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ALGORITHMICA
2011
13 years 2 months ago
On Bounded Leg Shortest Paths Problems
Let V be a set of points in a d-dimensional lp-metric space. Let s, t ∈ V and let L be any real number. An L-bounded leg path from s to t is an ordered set of points which conne...
Liam Roditty, Michael Segal
ALGORITHMICA
2006
138views more  ALGORITHMICA 2006»
13 years 7 months ago
Planar Graph Coloring Avoiding Monochromatic Subgraphs: Trees and Paths Make It Difficult
We consider the problem of coloring a planar graph with the minimum number of colors so that each color class avoids one or more forbidden graphs as subgraphs. We perform a detail...
Hajo Broersma, Fedor V. Fomin, Jan Kratochví...
JGT
2007
99views more  JGT 2007»
13 years 7 months ago
Backbone colorings for graphs: Tree and path backbones
We introduce and study backbone colorings, a variation on classical vertex colorings: Given a graph G = (V, E) and a spanning subgraph H of G (the backbone of G), a backbone color...
Hajo Broersma, Fedor V. Fomin, Petr A. Golovach, G...
COMBINATORICS
2006
98views more  COMBINATORICS 2006»
13 years 7 months ago
Restricted Walks in Regular Trees
Let T be the Cayley graph of a finitely generated free group F. Given two vertices in T consider all the walks of a given length between these vertices that at a certain time must...
Laura Ciobanu, Sasa Radomirovic
EJC
2010
13 years 7 months ago
Bijections for a class of labeled plane trees
We consider plane trees whose vertices are given labels from the set {1, 2, . . . , k} in such a way that the sum of the labels along any edge is at most k + 1; it turns out that ...
Nancy S. S. Gu, Helmut Prodinger, Stephan Wagner