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» The Alcuin Number of a Graph
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ENDM
2008
59views more  ENDM 2008»
15 years 6 months ago
Unexpected behaviour of crossing sequences
The nth crossing number of a graph G, denoted crn(G), is the minimum number of crossings in a drawing of G on an orientable surface of genus n. We prove that for every a > b &g...
Matt DeVos, Bojan Mohar, Robert Sámal
JCT
2006
93views more  JCT 2006»
15 years 6 months ago
On the minimal degree implying equality of the largest triangle-free and bipartite subgraphs
Erdos posed the problem of finding conditions on a graph G that imply t(G) = b(G), where t(G) is the largest number of edges in a triangle-free subgraph and b(G) is the largest nu...
József Balogh, Peter Keevash, Benny Sudakov
ISAAC
2009
Springer
140views Algorithms» more  ISAAC 2009»
16 years 1 months ago
Tighter Approximation Bounds for Minimum CDS in Wireless Ad Hoc Networks
Abstract. Connected dominating set (CDS) has a wide range of applications in wireless ad hoc networks. A number of approximation algorithms for constructing a small CDS in wireless...
Minming Li, Peng-Jun Wan, F. Frances Yao
FUZZIEEE
2007
IEEE
16 years 1 months ago
Social Measures and Flexible Navigation on Online Contact Networks
— This paper discusses ways of navigating online contact networks - networks of social connections defined under a relational context - on a way that can provide much more meani...
Nikolaos Korfiatis, Miguel-Ángel Sicilia
PKDD
2005
Springer
145views Data Mining» more  PKDD 2005»
16 years 4 days ago
A Correspondence Between Maximal Complete Bipartite Subgraphs and Closed Patterns
For an undirected graph ¢ without self-loop, we prove: (i) that the number of closed patterns in the adjacency matrix of ¢ is even; (ii) that the number of the closed patterns i...
Jinyan Li, Haiquan Li, Donny Soh, Limsoon Wong