Results 41 to 50 of about 16,768 (145)
Persistent homology based Bottleneck distance in hypergraph products
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
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The extension of two-Lipschitz operators
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
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Distinguishing Cartesian products of countable graphs
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Estaji Ehsan +4 more
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An interpolative class of two-Lipschitz mappings of composition type
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
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On the Graceful Cartesian Product of Alpha-Trees
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
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Distance magic Cartesian product of graphs
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Cichacz Sylwia +3 more
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� Measure of Cartesian Product Sets [PDF]
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
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Stability of cartesian products
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
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Distance Measurements Related to Cartesian Product of Cycles
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
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Cartesian products avoiding patterns
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.
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