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COMBINATORICS
2004
100views more  COMBINATORICS 2004»
13 years 7 months ago
Lattice Structures from Planar Graphs
The set of all orientations of a planar graph with prescribed outdegrees carries the structure of a distributive lattice. This general theorem is proven in the first part of the p...
Stefan Felsner
DAM
2002
78views more  DAM 2002»
13 years 7 months ago
Uniquely 2-list colorable graphs
A graph is said to be uniquely list colorable, if it admits a list assignment which induces a unique list coloring. We study uniquely list colorable graphs with a restriction on t...
Yashar Ganjali, Mohammad Ghebleh, Hossein Hajiabol...
IWCIA
2009
Springer
14 years 1 months ago
Collapses and Watersheds in Pseudomanifolds
This work is settled in the framework of abstract simplicial complexes. We propose a definition of a watershed and of a collapse for maps defined on pseudomanifolds of arbitrary ...
Jean Cousty, Gilles Bertrand, Michel Couprie, Laur...
DM
1998
100views more  DM 1998»
13 years 7 months ago
Upper domination and upper irredundance perfect graphs
Let β(G), Γ(G) and IR(G) be the independence number, the upper domination number and the upper irredundance number, respectively. A graph G is called Γperfect if β(H) = Γ(H),...
Gregory Gutin, Vadim E. Zverovich
JCT
2006
72views more  JCT 2006»
13 years 7 months ago
Arboricity and tree-packing in locally finite graphs
Nash-Williams' arboricity theorem states that a finite graph is the edge-disjoint union of at most k forests if no set of vertices induces more than k( - 1) edges. We prove a...
Maya Jakobine Stein