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» A New Upper Bound on the Total Domination Number of a Graph
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ARSCOM
2006
140views more  ARSCOM 2006»
13 years 7 months ago
Expansion Properties Of Levi Graphs
ABSTRACT. The Levi graph of a balanced incomplete block design is the bipartite graph whose vertices are the points and blocks of the design, with each block adjacent to those poin...
Dominic Lanphier, C. Miller, Jason Rosenhouse, A. ...
ESA
1998
Springer
95views Algorithms» more  ESA 1998»
13 years 11 months ago
New Bounds for Oblivious Mesh Routing
We give two, new upper bounds for oblivious permutation routing on the mesh networks: Let N be the total number of processors in each mesh. One is an O(N0.75 ) algorithm on the tw...
Kazuo Iwama, Yahiko Kambayashi, Eiji Miyano
DM
2008
72views more  DM 2008»
13 years 7 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
ENDM
2007
140views more  ENDM 2007»
13 years 7 months ago
Acyclic dominating partitions
Given a graph G = (V, E), let P be a partition of V . We say that P is dominating if, for each part P of P, the set V \ P is a dominating set in G (equivalently, if every vertex h...
Louigi Addario-Berry, Ross J. Kang
CORR
2010
Springer
104views Education» more  CORR 2010»
13 years 7 months ago
Coloring translates and homothets of a convex body
We obtain improved upper bounds and new lower bounds on the chromatic number as a linear function of the clique number, for the intersection graphs (and their complements) of fini...
Adrian Dumitrescu, Minghui Jiang