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CORR
2010
Springer
93views Education» more  CORR 2010»
13 years 7 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
COMBINATORICS
2006
124views more  COMBINATORICS 2006»
13 years 7 months ago
Bounded-Degree Graphs have Arbitrarily Large Geometric Thickness
Abstract. The geometric thickness of a graph G is the minimum integer k such that there is a straight line drawing of G with its edge set partitioned into k plane subgraphs. Eppste...
János Barát, Jirí Matousek, D...
EDBT
2012
ACM
228views Database» more  EDBT 2012»
11 years 9 months ago
Finding maximal k-edge-connected subgraphs from a large graph
In this paper, we study how to find maximal k-edge-connected subgraphs from a large graph. k-edge-connected subgraphs can be used to capture closely related vertices, and findin...
Rui Zhou, Chengfei Liu, Jeffrey Xu Yu, Weifa Liang...
SIAMDM
2008
97views more  SIAMDM 2008»
13 years 7 months ago
Large Nearly Regular Induced Subgraphs
For a real c 1 and an integer n, let f(n, c) denote the maximum integer f such that every graph on n vertices contains an induced subgraph on at least f vertices in which the max...
Noga Alon, Michael Krivelevich, Benny Sudakov
EJC
2008
13 years 7 months ago
Locally constrained graph homomorphisms and equitable partitions
We explore the connection between locally constrained graph homomorphisms and degree matrices arising from an equitable partition of a graph. We provide several equivalent charact...
Jirí Fiala, Daniël Paulusma, Jan Arne ...