Results 41 to 50 of about 16,768 (145)

Persistent homology based Bottleneck distance in hypergraph products

open access: yesApplied Network Science
In this paper, we extended the technique of measuring similarity between topological spaces using bottle neck distance between persistence diagrams to hypergraph networks. Finding a relationship between the bottleneck distance of the Cartesian product of
Archana Babu, Sunil Jacob John
doaj   +1 more source

The extension of two-Lipschitz operators

open access: yesApplied General Topology
The paper deals with some further results concerning the class of two-Lipschitz operators. We prove first an isometric isomorphism identification of two-Lipschitz operators and Lipschitz operators.
Elhadj Dahia
doaj   +1 more source

Distinguishing Cartesian products of countable graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Estaji Ehsan   +4 more
openaire   +2 more sources

An interpolative class of two-Lipschitz mappings of composition type

open access: yesApplied General Topology
The paper deals with some further results concerning the class of two-Lipschitz operators. We prove first an isometric isomorphism identification of two-Lipschitz operators and Lipschitz operators.
Khaled Hamidi, Abdelhamid Tallab
doaj   +1 more source

On the Graceful Cartesian Product of Alpha-Trees

open access: yesTheory and Applications of Graphs, 2017
A \emph{graceful labeling} of a graph $G$ of size $n$ is an injective assignment of integers from the set $\{0,1,\dots,n\}$ to the vertices of $G$ such that when each edge has assigned a \emph{weight}, given by the absolute value of the difference of the
Christian Barrientos, Sarah Minion
doaj   +1 more source

Distance magic Cartesian product of graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cichacz Sylwia   +3 more
openaire   +3 more sources

� Measure of Cartesian Product Sets [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
It is proven that there exists a subset A A of Euclidean 2 2 -space such that the 2 2 -dimensional T \mathcal {T} measure of the Cartesian product of an interval of unit length and A A is greater than the 1 1 -dimensional
openaire   +1 more source

Stability of cartesian products

open access: yesJournal of Combinatorial Theory, Series B, 1978
AbstractWe complete the work started by Holton and Grant concerning the semi-stability of non-trivial connected cartesian products and show that all such products are semi-stable. Further we show that except for certain (listed) restricted graphs, connected cartesian products are semi-stable at every vertex.
Sims, Julie, Holton, D.A
openaire   +3 more sources

Distance Measurements Related to Cartesian Product of Cycles

open access: yesJournal of Mathematics, 2020
Graph theory and its wide applications in natural sciences and social sciences open a new era of research. Making the graph of computer networks and analyzing it with aid of graph theory are extensively studied and researched in the literature.
Xiaoli Qiang   +5 more
doaj   +1 more source

Cartesian products avoiding patterns

open access: yes, 2019
The pattern avoidance problem seeks to construct a set with large fractal dimension that avoids a prescribed pattern, such as three term arithmetic progressions, or more general patterns such as finding a set whose Cartesian product avoids the zero set of a given function.
openaire   +2 more sources

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