Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modulus of time-respecting paths   On a static graph, the p-modulus of a family of paths reflects both the
lengths of these paths as well as their diversity; a family of many short,
disjoint paths has larger modulus than a family of a few long overlapping
paths. In this work, we define a version of p-modulus for time-respecting paths
on temporal graphs. This formulation makes use of a time penalty function as a
means of discounting paths that take a relatively long time to traverse, thus
allowing modulus to capture temporal information about the family as well. By
means of a transformation, we show that this temporal p-modulus can be
recognized as a p-modulus problem on a static graph and, therefore, that much
of the known theory of p-modulus of families of objects can be translated to
the case of temporal paths. We demonstrate some properties of temporal modulus
on examples.

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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg