How different can two intersecting families be?
How frequently is a system of 2-linear Boolean equations solvable?
How Long Can One Bluff in the Domination Game?
The domination game is played on an arbitrary graph G by two players, Dominator and Staller. The game is called Game 1 when Dominator starts it, and Game 2 otherwise. In this paper bluff graphs are introduced as the graphs in which every vertex is an optimal start vertex in Game 1 as well as in Game 2. It is proved that every minus graph (a graph in which Game 2 finishes faster than Game 1) is a bluff graph. A non-trivial infinite family of minus (and hence bluff) graphs is established. minus graphs...
How many square occurrences must a binary sequence contain?
How the result of graph clustering methods depends on the construction of the graph
We study the scenario of graph-based clustering algorithms such as spectral clustering. Given a set of data points, one first has to construct a graph on the data points and then apply a graph clustering algorithm to find a suitable partition of the graph. Our main question is if and how the construction of the graph (choice of the graph, choice of parameters, choice of weights) influences the outcome of the final clustering result. To this end we study the convergence of cluster quality measures...
How to draw tropical planes.
How to find overfull subgraphs in graphs with large maximum degree. II.
Hrátky s geometrií, čísly a maticemi
Human proofs of identities by Osburn and Schneider.
Hybrid proofs of the -binomial theorem and other identities.
HYP and HYPQ. Mathematica packages for the manipulation of binomial sums and hypergeometric series respectively -binomial sums and basic hypergeometric series.
Hyperbolic and Parabolic Packings.
Hyperbolicity and chordality of a graph.
Hyperconvexity of ℝ-trees
It is shown that for a metric space (M,d) the following are equivalent: (i) M is a complete ℝ-tree; (ii) M is hyperconvex and has unique metric segments.
Hyperelliptic maps and surfaces
Hyperenergetic and Hypoenergetic Graphs
Hyperenergetic graphs and cyclomatic number
HYPERG: a Maple package for manipulating hypergeometric series.
Hypergeometric series acceleration via the WZ method.
Hypergraph systems and their extensions