Linear-in- $$\varDelta $$ Δ lower bounds in the LOCAL model
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چکیده
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Linear-in-$Δ$ Lower Bounds in the LOCAL Model
By prior work, there is a distributed graph algorithm that finds a maximal fractional matching (maximal edge packing) in O(∆) rounds, independently of n; here ∆ is the maximum degree of the graph and n is the number of nodes in the graph. We show that this is optimal: there is no distributed algorithm that finds a maximal fractional matching in o(∆) rounds, independently of n. Our work gives th...
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ژورنال
عنوان ژورنال: Distributed Computing
سال: 2015
ISSN: 0178-2770,1432-0452
DOI: 10.1007/s00446-015-0245-8