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» The independence number in graphs of maximum degree three
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95
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SODA
2012
ACM
213views Algorithms» more  SODA 2012»
13 years 3 days ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
COCOON
2005
Springer
15 years 3 months ago
New Streaming Algorithms for Counting Triangles in Graphs
Abstract. We present three streaming algorithms that ( , δ)− approximate 1 the number of triangles in graphs. Similar to the previous algorithms [3], the space usage of presente...
Hossein Jowhari, Mohammad Ghodsi
AAIM
2007
Springer
151views Algorithms» more  AAIM 2007»
15 years 3 months ago
Acyclic Edge Colouring of Outerplanar Graphs
An acyclic edge colouring of a graph is a proper edge colouring having no 2-coloured cycle, that is, a colouring in which the union of any two colour classes forms a linear forest...
Rahul Muthu, N. Narayanan, C. R. Subramanian
FOCS
2006
IEEE
15 years 3 months ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao
CIAC
2010
Springer
258views Algorithms» more  CIAC 2010»
15 years 7 months ago
A Planar Linear Arboricity Conjecture
The linear arboricity la(G) of a graph G is the minimum number of linear forests that partition the edges of G. In 1984, Akiyama et al. [1] stated the Linear Arboricity Conjecture...
Marek Cygan, Lukasz Kowalik, Borut Luzar