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GC
2008
Springer
15 years 4 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»
15 years 4 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
15 years 10 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
BIRTHDAY
2010
Springer
15 years 5 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
SIAMDM
2008
190views more  SIAMDM 2008»
15 years 4 months ago
On the Complexity of Ordered Colorings
We introduce two variants of proper colorings with imposed partial ordering on the set of colors. One variant shows very close connections to some fundamental problems in graph the...
Arvind Gupta, Jan van den Heuvel, Ján Manuc...