Let D(G) be the minimum quantifier depth of a first order sentence Φ that defines a graph G up to isomorphism in terms of the adjacency and the equality relations. Let D_0(G) be a variant of D(G) where we do not allow quantifier alternations in Φ . Using large graphs decomposable in complement-connected components by a short sequence of serial and parallel decompositions, we show examples of G on n vertices with D_0(G)≤ 2\log ^*n+O(1). On the other hand, we prove a lower bound D_0(G)≥ \log ^*n-\log ^*\log ^*n-O(1) for all G. Here \log ^*n is equal to the minimum number of iterations of the binary logarithm needed to bring n below 1.
from HAL : Dernières publications http://ift.tt/1UISdC1
Home » Informatique » [hal-01184380] Decomposable graphs and definitions with no quantifier alternation
vendredi 14 août 2015
[hal-01184380] Decomposable graphs and definitions with no quantifier alternation
lainnya dari HAL : Dernières publications, Informatique
- [hal-01290932] An Extension of SPARQL with Fuzzy Navigational Capabilities for Querying Fuzzy RDF Data
- [hal-01343753] Frederic Lee and post-Keynesian pricing theory
- [hal-01108627] From complexity to algebra and back: digraph classes, collapsibility and the PGP
- [hal-01134194] Optimal Transport using Helmholtz-Hodge Decomposition and First-Order Primal-Dual Algorithms
- [hal-01133948] Modélisations de textures par champ gaussien à orientation locale prescrite
- [hal-01170063] A Day-ahead Centralized Unit Commitment Algorithm for A Multi-agent Smart Grid
- [hal-01202398] L’Internet des objets : un nouveau champ d’action pour la cybercriminalité
- [hal-01185255] About Interface Conditions for Coupling Hydrostatic and Nonhydrostatic Navier-Stokes Flows
- [hal-00982087] Towards optimized Schwarz methods for the Navier-Stokes equations
- [hal-01343348] D.1.3 – Protocols for emergent localities
- [hal-01316014] A Methodology for Quality Assessment in Collaborative Score Libraries
- [hal-01343121] Impact de la recherche d'amorces mutées sur les résultats d'analyses métagénomiques
- [hal-01313749] Temperature dependence of the particle/gas partition coefficient: An application to predict indoor gas-phase concentrations of semi-volatile organic compounds
- [hal-01308004] Impact of the French 3rd and 4th generation pill scare in women seeking termination of pregnancy
Ditulis Oleh : Unknown // 13:09
Kategori:
Informatique
Inscription à :
Publier les commentaires (Atom)
0 commentaires:
Enregistrer un commentaire