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JGT
2008
92views more  JGT 2008»
13 years 11 months ago
A new upper bound for the bipartite Ramsey problem
We consider the following question: how large does n have to be to guarantee that in any two-colouring of the edges of the complete graph Kn,n there is a monochromatic Kk,k? In th...
David Conlon
DM
2006
107views more  DM 2006»
13 years 12 months ago
On a new reformulation of Hadwiger's conjecture
Assuming that every proper minor closed class of graphs contains a maximum with respect to the homomorphism order, we prove that such a maximum must be homomorphically equivalent ...
Reza Naserasr, Yared Nigussie
DM
2008
84views more  DM 2008»
13 years 12 months ago
Cyclic hamiltonian cycle systems of the complete graph minus a 1-factor
In this paper, we prove that cyclic hamiltonian cycle systems of the complete graph minus a 1-factor, Kn - I, exist if and only if n 2, 4( mod 8) and n = 2p with p
Heather Jordon, Joy Morris
DM
2008
103views more  DM 2008»
13 years 12 months ago
Edge-colorings avoiding rainbow and monochromatic subgraphs
For two graphs G and H, let the mixed anti-Ramsey numbers, maxR(n; G, H), (minR(n; G, H)) be the maximum (minimum) number of colors used in an edge-coloring of a complete graph wi...
Maria Axenovich, Perry Iverson
DISOPT
2010
129views more  DISOPT 2010»
13 years 12 months ago
Labeled Traveling Salesman Problems: Complexity and approximation
We consider labeled Traveling Salesman Problems, defined upon a complete graph of n vertices with colored edges. The objective is to find a tour of maximum or minimum number of co...
Basile Couëtoux, Laurent Gourvès, J&ea...
CORR
2010
Springer
79views Education» more  CORR 2010»
13 years 12 months ago
Random Topologies and the emergence of cooperation: the role of short-cuts
We present a detailed study about the role of the short-cuts of a network in promoting the emergence of cooperation in a population of agents playing the Prisoner's Dilemma Ga...
Daniele Vilone, Angel Sánchez, Jesús...
ALGORITHMICA
2010
147views more  ALGORITHMICA 2010»
13 years 12 months ago
Note on the Structure of Kruskal's Algorithm
We study the merging process when Kruskal's algorithm is run with random graphs as inputs. Our aim is to analyze this process when the underlying graph is the complete graph ...
Nicolas Broutin, Luc Devroye, Erin McLeish
FCS
2006
14 years 1 months ago
Sub-Graphs of Complete Graph
: In the complete graph K2m+3 for m 2, we study some structures of simple non-isomorphic Hamiltonian sub-graphs of the form H ( 2m+3 , 6m+3) for m 2 . The various structures of t...
Bichitra Kalita
OA
1989
237views Algorithms» more  OA 1989»
14 years 3 months ago
Which Triangulations Approximate the Complete Graph?
nce Abstract) 1 GAUTAM DAS - University of Wisconsin DEBORAH JOSEPH - University of Wisconsin Chew and Dobkin et. al. have shown that the Delaunay triangulation and its variants ar...
Gautam Das, Deborah Joseph
STOC
2005
ACM
135views Algorithms» more  STOC 2005»
15 years 4 days ago
Quadratic forms on graphs
We introduce a new graph parameter, called the Grothendieck constant of a graph G = (V, E), which is defined as the least constant K such that for every A : E R, sup f:V S|V |-1 ...
Noga Alon, Konstantin Makarychev, Yury Makarychev,...