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» Sum Coloring of Bipartite Graphs with Bounded Degree
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ICANNGA
2007
Springer
141views Algorithms» more  ICANNGA 2007»
13 years 11 months ago
On Sum Coloring of Graphs with Parallel Genetic Algorithms
Abstract. Chromatic number, chromatic sum and chromatic sum number are important graph coloring characteristics. The paper proves that a parallel metaheuristic like the parallel ge...
Zbigniew Kokosinski, Krzysztof Kwarciany
COLOGNETWENTE
2010
13 years 4 months ago
Interval Total Colorings of Bipartite Graphs
An interval total t coloring of a graph G is a total coloring of with colors 1, such that at least one vertex or edge of is colored by color − G 2, ,t… G , 1, 2, ,i i t= … ,...
Petros A. Petrosyan, Ani Shashikyan, Arman Yu. Tor...
GC
2010
Springer
13 years 2 months ago
Cycle Lengths in Hamiltonian Graphs with a Pair of Vertices Having Large Degree Sum
A graph of order n is said to be pancyclic if it contains cycles of all lengths from three to n. Let G be a hamiltonian graph and let x and y be vertices of G that are consecutive ...
Michael Ferrara, Michael S. Jacobson, Angela Harri...
SIAMDM
2010
96views more  SIAMDM 2010»
13 years 3 months ago
Note on Bipartite Graph Tilings
Let s < t be two fixed positive integers. We study what are the minimum degree conditions for a bipartite graph G, with both color classes of size n = k(s + t), which ensure t...
Jan Hladký, Mathias Schacht
DM
2006
92views more  DM 2006»
13 years 5 months ago
Sums of powers of the degrees of a graph
For a graph G and k a real number, we consider the sum of the k-th powers of the degrees of the vertices of G. We present some general bounds on this sum for various values of k. ...
Sebastian M. Cioaba