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Abstract. Let EH be the hypothesis that a certain type of expander graph has an explicit construction. Let io-SPACE(T(n)) be the class of problems solvable by ...
Abstract. Let EH be the hypothesis that a certain type of expander graph has an explicit construction. Let io-SPACE(T(n)) be the class of problems solvable by ...
Definition: An (l,r,d,k)-expander is a bipartite graph with l left nodes each of degree d, r right nodes, and where every subset of k left nodes covers, i.e.,.
Expanders, randomness, or time versus space · Contents. Journal of Computer and System Sciences. Volume 36, Issue 3 · PREVIOUS ARTICLE. Relativized alternation ...
Informally it says that, any d-regular λ-absolute eigenvalue expander graph is close to a random d-regular graph. Lemma 15. (Expander mixing lemma) If G(V,E) be ...
Intuition: expanders reduce the need for randomness. Definition: (S, d) is a metric space if d: SxS → R+, d(x, y) ≥ 0, d(x, y)=0iff x = y, d(x, y) = d(y, ...
M. Sipser, "Expanders, Randomness, or. Time vs. Space", Structure in Complex- ity Theory, Lecture notes in Computer.
Abstract. A graph G = (V,E) is called an expander if every vertex subset U of size up to. |V |/2 has an external neighborhood whose size is comparable to ...
Random regular graphs are with high probability expanders in the classical sense (i.e., with respect to R), but we are far from understanding those metric.
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Remarkably, expander walks give good randomness properties not only for the final vertex in the walk, but also for the sequence of vertices traversed in the ...