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GC
2008
Springer
13 years 8 months ago
Laplacian Spectrum of Weakly Quasi-threshold Graphs
In this paper we study the class of weakly quasi-threshold graphs that are obtained from a vertex by recursively applying the operations (i) adding a new isolated vertex, (ii) addi...
R. B. Bapat, A. K. Lal, Sukanta Pati
JCT
2007
140views more  JCT 2007»
13 years 8 months ago
Homomorphisms and edge-colourings of planar graphs
We conjecture that every planar graph of odd-girth 2k + 1 admits a homomorphism to Cayley graph C(Z2k+1 2 , S2k+1), with S2k+1 being the set of (2k + 1)vectors with exactly two co...
Reza Naserasr
COLT
2007
Springer
14 years 3 months ago
Property Testing: A Learning Theory Perspective
Property testing deals with tasks where the goal is to distinguish between the case that an object (e.g., function or graph) has a prespecified property (e.g., the function is li...
Dana Ron
COMBINATORICS
1999
90views more  COMBINATORICS 1999»
13 years 8 months ago
On the Theory of Pfaffian Orientations. II. T-joins, k-cuts, and Duality of Enumeration
This is a continuation of our paper "A Theory of Pfaffian Orientations I: Perfect Matchings and Permanents". We present a new combinatorial way to compute the generating...
Anna Galluccio, Martin Loebl
BIRTHDAY
2010
Springer
13 years 10 months ago
Fixed-Point Definability and Polynomial Time on Chordal Graphs and Line Graphs
The question of whether there is a logic that captures polynomial time was formulated by Yuri Gurevich in 1988. It is still wide open and regarded as one of the main open problems...
Martin Grohe