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COMBINATORICS
2004
100views more  COMBINATORICS 2004»
14 years 11 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»
14 years 11 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
15 years 6 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»
14 years 11 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
82
Voted
JCT
2006
72views more  JCT 2006»
14 years 11 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