Lewiner, T.: Critical sets in discrete Morse theories: Relating Forman and piecewise-linear approaches. Computer Aided Geometric Design 30(6), 609-621 (Jul 2013)Critical sets in discrete morse theories: Relating forman and piecewise-linear approaches - LEWINER...
I imagine it's given that the cardinality of either the naturals or integers is ℵ0ℵ0 at this point in your coursework - in that case, any other set bijective with either also has that cardinality. What remains is to establish and prove that such a function is indeed bijective. Share...
Then GG has 2⋅5=102⋅5=10 vertices and 2⋅(52)=202⋅(52)=20 edges and any independent set of GG has cardinality less than 33 because it has no more than one vertex from each K5K5. P.S. I don't think that by selecting 2020 edges in K5,5K5,5 we can obtain a graph...
Tags Cardinality Discrete Discrete math Sets This proves that there is a one-to-one correspondence between (0,1) and (1,∞), and therefore, they have the same cardinality.In summary, the conversation discusses the concept of infinite sets having the same cardinality, using the example of a ...
In this paper, we describe a new infinite family of $$\frac{q^{2}-1}{2}$$ -tight sets in the hyperbolic quadrics $${\mathcal {Q}}^{+}(5,q)$$ , for $$q \equiv 5 ext{ or } 9 \,\hbox {mod}\,{12}$$ . Under the Klein correspondence, these correspond to Cameron–L...
We show that if n sets in a topological space are given so that all the sets are closed or all are open, and for each k ≤ n every k of the sets have a (k - 2)-connected union, then the n sets have a point in common. As a consequence, we obtain the following starshaped ve...
Discrete Appl. Math. (1989) C. Berge et al. Strongly perfect graphs Ann. Discrete Math. (1984) A.A. Bertossi Dominating sets for split and bipartite graphs Inform. Process. Lett. (1984) A.A. Bertossi Total domination in interval graphs Inform. Process. Lett. (1986) A.A. Bertossi et...
A compact convex set having interior points in\({\mathbb {R}}^n\)is called aconvex body. The collection of convex bodies in\({\mathbb {R}}^n\)is denoted by\(\mathcal {K}^{n}\), and the set of elements in\(\mathcal {K}^{n}\)that are symmetric with respect to\(o\)is ...
I have come across this problem in my discrete mathematics class and I have no clue how to go about it since I haven't dealt with upper bounds before in sets. If anyone could help me out, I'd greatly appreciate it. In the special case S = {1, 2, 3, 4}, there exists two se...
A family (R) of Borel subsets of a space X is (boundedly) Borel additive if, for some countable ordinal a, the union of every subfamily of (R) is a Borel set of class a in I. A problem which arises frequently in nonseparable descriptive ... Roger W Hansell 被引量: 1发表: 2017...