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» Cover-Incomparability Graphs of Posets
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2008
66views more  ORDER 2008»
13 years 7 months ago
Cover-Incomparability Graphs of Posets
Bostjan Bresar, Manoj Changat, Sandi Klavzar, Matj...
ENTCS
2002
105views more  ENTCS 2002»
13 years 6 months ago
Fixed points in digital topology (via Helly posets)
Abstract. We extend some of our previous results on fixed points of graph multifunctions to posets. The posets of most interest here are the (finite) Khalimsky spaces, in their spe...
Rueiher Tsaur, Michael B. Smyth
DM
1999
61views more  DM 1999»
13 years 6 months ago
On an equivalence in discrete extremal problems
We introduce some equivalence relations on graphs and posets and prove that they are closed under the cartesian product operation. These relations concern the edge-isoperimetric p...
Sergei L. Bezrukov
DM
2010
91views more  DM 2010»
13 years 7 months ago
Adjacency posets of planar graphs
In this paper, we show that the dimension of the adjacency poset of a planar graph is at most 8. From below, we show that there is a planar graph whose adjacency poset has dimensio...
Stefan Felsner, Ching Man Li, William T. Trotter
JCT
2011
71views more  JCT 2011»
13 years 2 months ago
Pseudograph associahedra
Given a simple graph G, the graph associahedron KG is a simple polytope whose face poset is based on the connected subgraphs of G. This paper defines and constructs graph associah...
Michael Carr, Satyan L. Devadoss, Stefan Forcey