منابع مشابه
On judicious bipartitions of graphs
For a positive integer m, let f(m) be the maximum value t such that any graph with m edges has a bipartite subgraph of size at least t, and let g(m) be the minimum value s such that for any graph G with m edges there exists a bipartition V (G) = V1 ∪ V2 such that G has at most s edges with both incident vertices in Vi. Alon proved that the limsup of f(m)− (m/2 + √ m/8) tends to infinity as m te...
متن کاملBalanced judicious bipartitions of graphs
A bipartition of the vertex set of a graph is called balanced if the sizes of the sets in the bipartition differ by at most one. Bollobás and Scott [3] conjectured that if G is a graph with minimum degree at least 2 then V (G) admits a balanced bipartition V1, V2 such that for each i, G has at most |E(G)|/3 edges with both ends in Vi. The minimum degree condition is necessary, and a result of B...
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In this paper, we show that each f -graph with more than 5 vertices has an unique minimum bipartition, and we also show the upper and lower bound of the balanced size of f -graphs.
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. We present preliminary work that demonstrates the feasibility of deploying an Internet transport service that can support applications with stringent timeliness and reliability requirements (e.g. 130ms round-trip latency across the US with 99.999% reliability). We describe an approach to building such a transport service based on overlay networks and dissemination graphs. In this approach, ea...
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ژورنال
عنوان ژورنال: AKCE International Journal of Graphs and Combinatorics
سال: 2015
ISSN: 0972-8600,2543-3474
DOI: 10.1016/j.akcej.2015.11.009