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114
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SIAMDM
2010
130views more  SIAMDM 2010»
14 years 10 months ago
On the Hull Number of Triangle-Free Graphs
A set of vertices C in a graph is convex if it contains all vertices which lie on shortest paths between vertices in C. The convex hull of a set of vertices S is the smallest conve...
Mitre Costa Dourado, Fábio Protti, Dieter R...
117
Voted
SIAMDM
2010
140views more  SIAMDM 2010»
14 years 10 months ago
Retractions to Pseudoforests
For a fixed graph H, let Ret(H) denote the problem of deciding whether a given input graph is retractable to H. We classify the complexity of Ret(H) when H is a graph (with loops ...
Tomás Feder, Pavol Hell, Peter Jonsson, And...
SIAMDM
2010
128views more  SIAMDM 2010»
14 years 10 months ago
Permutation Capacities of Families of Oriented Infinite Paths
K¨orner and Malvenuto asked whether one can find n n/2 linear orderings (i.e., permutations) of the first n natural numbers such that any pair of them places two consecutive int...
Graham Brightwell, Gérard D. Cohen, Emanuel...
SIAMDM
2010
114views more  SIAMDM 2010»
14 years 10 months ago
Rank-Based Attachment Leads to Power Law Graphs
Abstract. We investigate the degree distribution resulting from graph generation models based on rank-based attachment. In rank-based attachment, all vertices are ranked according ...
Jeannette Janssen, Pawel Pralat
68
Voted
SIAMDM
2010
84views more  SIAMDM 2010»
14 years 10 months ago
Complementary Iterated Floor Words and the Flora Game
Let ϕ = (1 + √ 5)/2 denote the golden section. We investigate relationships between unbounded iterations of the floor function applied to various combinations of ϕ and ϕ2. We...
Aviezri S. Fraenkel