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» Bounds on the k-domination number of a graph
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CRYPTO
2012
Springer
268views Cryptology» more  CRYPTO 2012»
13 years 4 months ago
Secret Sharing Schemes for Very Dense Graphs
A secret-sharing scheme realizes a graph if every two vertices connected by an edge can reconstruct the secret while every independent set in the graph does not get any informatio...
Amos Beimel, Oriol Farràs, Yuval Mintz
COMGEO
2007
ACM
15 years 1 months ago
Graph drawings with few slopes
The slope-number of a graph G is the minimum number of distinct edge slopes in a straight-line drawing of G in the plane. We prove that for Δ 5 and all large n, there is a Δ-reg...
Vida Dujmovic, Matthew Suderman, David R. Wood
EJC
2008
15 years 2 months ago
3-bounded property in a triangle-free distance-regular graph
Let denote a distance-regular graph with classical parameters (D, b, , ) and D 3. Assume the intersection numbers a1 = 0 and a2 = 0. We show is 3-bounded in the sense of the ar...
Yeh-jong Pan, Chih-wen Weng
CDC
2008
IEEE
122views Control Systems» more  CDC 2008»
15 years 8 months ago
On the number of leaders needed to ensure network connectivity
— In this paper we examine the leader-to-follower ratio needed to maintain connectivity in a leader-follower multiagent network with proximity based communication topology. In th...
Dimos V. Dimarogonas, Tove Gustavi, Magnus Egerste...
116
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SIAMDM
2010
109views more  SIAMDM 2010»
14 years 8 months ago
Ends and Vertices of Small Degree in Infinite Minimally k-(Edge)-Connected Graphs
Bounds on the minimum degree and on the number of vertices attaining it have been much studied for finite edge-/vertex-minimally kconnected/k-edge-connected graphs. We give an ove...
Maya Stein