44 search results - page 1 / 9 » Lower bounding the boundary of a graph in terms of its maxim... |
DM
2008
13 years 7 months ago
2008
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 ...
COMGEO
2007
ACM
13 years 7 months ago
2007
ACM
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...
ARSCOM
2004
13 years 7 months ago
2004
The domatic number of a graph G is the maximum number of dominating sets into which the vertex set of G can be partitioned. We show that the domatic number of a random r-regular g...
INFOCOM
2009
IEEE
14 years 1 months ago
2009
IEEE
—Designing an overlay network for publish/subscribe communication in a system where nodes may subscribe to many different topics of interest is of fundamental importance. For sca...
FOCS
2006
IEEE
14 years 1 months ago
2006
IEEE
We consider the minimum cost spanning tree problem under the restriction that all degrees must be at most a given value k. We show that we can efficiently find a spanning tree o...