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CORR
2010
Springer
93views Education» more  CORR 2010»
15 years 6 months ago
Injective colorings of graphs with low average degree
Let mad(G) denote the maximum average degree (over all subgraphs) of G and let i(G) denote the injective chromatic number of G. We prove that if 4 and mad(G) < 14 5 , then i(G...
Daniel W. Cranston, Seog-Jin Kim, Gexin Yu
DM
2010
78views more  DM 2010»
15 years 6 months ago
Injective colorings of sparse graphs
Let Mad(G) denote the maximum average degree (over all subgraphs) of G and let i(G) denote the injective chromatic number of G. We prove that if Mad(G) 5 2 , then i(G) + 1; sim...
Daniel W. Cranston, Seog-Jin Kim, Gexin Yu
IPL
2008
89views more  IPL 2008»
15 years 6 months ago
On the tractability of coloring semirandom graphs
As part of the efforts put in understanding the intricacies of the k-colorability problem, different distributions over k-colorable graphs were analyzed. While the problem is notor...
Julia Böttcher, Dan Vilenchik
SIAMDM
2008
154views more  SIAMDM 2008»
15 years 6 months ago
On the First-Fit Chromatic Number of Graphs
The first-fit chromatic number of a graph is the number of colors needed in the worst case of a greedy coloring. It is also called the Grundy number, which is defined to be the max...
József Balogh, Stephen G. Hartke, Qi Liu, G...
MICCAI
2006
Springer
16 years 7 months ago
Cell Segmentation Using Coupled Level Sets and Graph-Vertex Coloring
Sumit Kumar Nath, Kannappan Palaniappan, Filiz Bun...