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» The Alcuin Number of a Graph
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DM
2008
88views more  DM 2008»
15 years 6 months ago
Lower bounding the boundary of a graph in terms of its maximum or minimum degree
A vertex v of a graph G is a boundary vertex if there exists a vertex u such that the distance in G from u to v is at least the distance from u to any neighbour of v. We give the ...
Tobias Müller, Attila Pór, Jean-S&eacu...
DM
2006
121views more  DM 2006»
15 years 6 months ago
The acircuitic directed star arboricity of subcubic graphs is at most four
A directed star forest is a forest all of whose components are stars with arcs emanating from the center to the leaves. The acircuitic directed star arboricity of an oriented grap...
Alexandre Pinlou, Eric Sopena
JGT
2006
40views more  JGT 2006»
15 years 6 months ago
How many graphs are unions of k-cliques?
We study the number F[n; k] of n-vertex graphs that can be written as the edgeunion of k-vertex cliques. We obtain reasonably tight estimates for F[n; k] in the cases (i) k = n-o(...
Béla Bollobás, Graham Brightwell
SDM
2007
SIAM
126views Data Mining» more  SDM 2007»
15 years 8 months ago
Scalable Name Disambiguation using Multi-level Graph Partition
When non-unique values are used as the identifier of entities, due to their homonym, confusion can occur. In particular, when (part of) “names” of entities are used as their ...
Byung-Won On, Dongwon Lee
DM
2008
72views more  DM 2008»
15 years 6 months ago
(p, 1)-Total labelling of graphs
A (p, 1)-total labelling of a graph G is an assignment of integers to V (G) E(G) such that: (i) any two adjacent vertices of G receive distinct integers, (ii) any two adjacent ed...
Frédéric Havet, Min-Li Yu