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ALGORITHMICA
2002
159views more  ALGORITHMICA 2002»
15 years 13 days ago
Algorithmic Aspects of Acyclic Edge Colorings
A proper coloring of the edges of a graph G is called acyclic if there is no 2-colored cycle in G. The acyclic edge chromatic number of G, denoted by a (G), is the least number of...
Noga Alon, Ayal Zaks
103
Voted
DAM
2008
92views more  DAM 2008»
15 years 19 days ago
Convex drawings of graphs with non-convex boundary constraints
: In this paper, we study a new problem of convex drawing of planar graphs with non-convex boundary constraints. It is proved that every triconnected plane graph whose boundary is ...
Seok-Hee Hong, Hiroshi Nagamochi
118
Voted
ARSCOM
2004
75views more  ARSCOM 2004»
15 years 12 days ago
On Theorems Equivalent with Kotzig's Result on Graphs with Unique 1-Factors
We show that several known theorems on graphs and digraphs are equivalent. The list of equivalent theorems include Kotzig's result on graphs with unique 1-factors, a lemma by...
Stefan Szeider
85
Voted
IPL
2008
82views more  IPL 2008»
15 years 16 days ago
On fully orientability of 2-degenerate graphs
Suppose that D is an acyclic orientation of the graph G. An arc of D is dependent if its reversal creates a directed cycle. Let d(D) denote the number of dependent arcs in D. Defi...
Hsin-Hao Lai, Gerard J. Chang, Ko-Wei Lih
FOCI
2007
IEEE
15 years 6 months ago
Faster Evolutionary Algorithms by Superior Graph Representation
— We present a new representation for individuals in problems that have cyclic permutations as solutions. To demonstrate its usefulness, we analyze a simple randomized local sear...
Benjamin Doerr, Christian Klein, Tobias Storch