Grid spanners with low forwarding index for energy efficient networks

Frédéric Giroire (1) , Stéphane Pérennes (1) , Issam Tahiri (1)

1 COATI - Combinatorics, Optimization and Algorithms for Telecommunications

A routing R of a connected graph G is a collection that contains simple paths connecting every ordered pair of vertices in G. The edge-forwarding index with respect to R (or simply the forwarding index with respect to R) π(G, R) of G is the maximum number of paths in R passing through any edge of G. The forwarding index π(G) of G is the minimum π(G, R) over all routings R’s of G. This parameter has been studied for different graph classes [14], [1], [7], [5]. Motivated by energy efficiency, we look, for different numbers of edges, at the best spanning graphs of a square grid, namely those with a low forwarding index.

Domaines: Réseaux et télécommunications [cs.NI]; Combinatoire [math.CO]

Frédéric Giroire, Stéphane Pérennes, Issam Tahiri. Grid spanners with low forwarding index for energy efficient networks. [Research Report] RR-8643, INRIA Sophia Antipolis; INRIA. 2014. ⟨hal-01095179⟩