N
Norbert Sauer
Researcher at University of Calgary
Publications - 112
Citations - 3085
Norbert Sauer is an academic researcher from University of Calgary. The author has contributed to research in topics: Countable set & Metric space. The author has an hindex of 22, co-authored 111 publications receiving 2801 citations. Previous affiliations of Norbert Sauer include Emory University & University of La Réunion.
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On the density of families of sets
TL;DR: This paper will answer the question in the affirmative by determining the exact upper bound of T if T is a family of subsets of some infinite set S then either there exists to each number n a set A ⊂ S with |A| = n such that |T ∩ A| = 2n or there exists some number N such that •A| c for each A⩾ N and some constant c.
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Intersection Theorems for Systems of Sets
TL;DR: A new upper bound is obtained for φ(2, k) for all k ⩾ 3 and a new lower bound forπ(n, 3) is obtained, both for positive integers n and k.
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The chromatic number of the product of two 4-chromatic graphs is 4
M. El-Zahar,Norbert Sauer +1 more
TL;DR: It is proved that indeed for all 4-chromatic graphsG χ(ℒ(G))=3 which establishes Hedetniemi’s [3] conjecture for 4- chromatic graphs.
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On monochromatic paths in edge-coloured digraphs
TL;DR: It is proved that if G contains no monochromatic infinite outward path, then there is an independent set S of vertices of G such that, for every vertex x not in S, there is a monochromaatic directed path from x to a vertex of S.