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» Strict Betweennesses Induced by Posets as well as by Graphs
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ORDER
2011
13 years 12 days ago
Strict Betweennesses Induced by Posets as well as by Graphs
For a finite poset P = (V, ≤), let Bs(P) consist of all triples (x, y, z) ∈ V 3 such that either x < y < z or z < y < x. Similarly, for every finite, simple, and...
Dieter Rautenbach, Philipp Matthias Schäfer
CORR
2006
Springer
144views Education» more  CORR 2006»
13 years 5 months ago
On the logical definability of certain graph and poset languages
We show that it is equivalent, for certain sets of finite graphs, to be definable in CMS (counting monadic second-order, a natural extension of monoadic second-order logic), and t...
Pascal Weil
JCT
2010
135views more  JCT 2010»
13 years 3 months ago
Countable connected-homogeneous graphs
Abstract. A graph is connected-homogeneous if any isomorphism between finite connected induced subgraphs extends to an automorphism of the graph. In this paper we classify the cou...
Robert Gray, D. Macpherson
SIAMDM
2008
101views more  SIAMDM 2008»
13 years 5 months ago
On Planar Quasi-Parity Graphs
A graph G is strict quasi parity (SQP) if every induced subgraph of G that is not a clique contains a pair of vertices with no odd chordless path between them (an even pair). Houga...
Cláudia Linhares Sales, Frédé...
FSTTCS
2006
Springer
13 years 9 months ago
Fast Exponential Algorithms for Maximum r-Regular Induced Subgraph Problems
Given a graph G=(V, E) on n vertices, the MAXIMUM r-REGULAR INDUCED SUBGRAPH (M-r-RIS) problems ask for a maximum sized subset of vertices R V such that the induced subgraph on R,...
Sushmita Gupta, Venkatesh Raman, Saket Saurabh