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COMBINATORICS
2000
142views more  COMBINATORICS 2000»
13 years 8 months ago
Harmonic Functions on Multiplicative Graphs and Interpolation Polynomials
We construct examples of nonnegative harmonic functions on certain graded graphs: the Young lattice and its generalizations. Such functions first emerged in harmonic analysis on th...
Alexei Borodin, Grigori Olshanski
CORR
2010
Springer
342views Education» more  CORR 2010»
13 years 6 months ago
Canonizable Partial Order Generators
In a previous work we introduced slice graphs as a way to specify both infinite languages of directed acyclic graphs (DAGs) and infinite languages of partial orders. Therein we fo...
Mateus de Oliveira Oliveira
JGT
2006
60views more  JGT 2006»
13 years 8 months ago
Spanning subgraphs of graphs partitioned into two isomorphic pieces
: A graph has the neighbor-closed-co-neighbor, or ncc property, if for each of its vertices x, the subgraph induced by the neighbor set of x is isomorphic to the subgraph induced b...
Anthony Bonato
MFCS
2005
Springer
14 years 2 months ago
D-Width: A More Natural Measure for Directed Tree Width
Due to extensive research on tree-width for undirected graphs and due to its many applications in various fields it has been a natural desire for many years to generalize the idea...
Mohammad Ali Safari
CDC
2010
IEEE
144views Control Systems» more  CDC 2010»
13 years 3 months ago
Formal analysis of piecewise affine systems through formula-guided refinement
Abstract-- We present a computational framework for identifying a set of initial states from which all trajectories of a piecewise affine (PWA) system satisfy a Linear Temporal Log...
Boyan Yordanov, Jana Tumova, Calin Belta, Ivana Ce...