Samuelson's Webs
Vladislav V. Goldberg, Valentin V. Lychagin

TL;DR
This paper introduces Samuelson's webs, defines their rank, and proves that their maximum rank is 6, providing conditions for achieving this maximum in general and singular cases.
Contribution
It establishes the concept of Samuelson's webs, defines their rank, and proves the maximum rank is 6 with conditions for attaining this maximum.
Findings
Maximum rank of Samuelson's webs is 6.
Conditions for maximal rank are identified.
The rank does not exceed 6 in general and singular cases.
Abstract
In the present paper we define Samuelson's webs and their rank. The main result of the paper is the proof that the rank of the Samuelson webs does not exceed 6, as well as finding the conditions under which this rank is maximal for the general Samuelson webs as well as for their singular cases.
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Taxonomy
Topicsgraph theory and CDMA systems · Cellular Automata and Applications · Advanced Graph Theory Research
