Degrees are Useless in SNORT When Measuring Temperature
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Combinatorial game theory result on temperature in the game SNORT; pure mathematics.
This mathematical paper studies temperatures in a combinatorial game, not research.
Combinatorial game theory analysis of Snort temperature; not measurement science of research.
Résumé
Snort is a two-player game played on a simple graph in which players alternately colour a vertex such that they do not colour adjacent to their opponents' vertex. In combinatorial game theory, the temperature of a position is a measure of the urgency of moving first. It is known that the temperature of \snort in general is infinite ($K_{1,n}$ has temperature $n$). We show that the temperature in addition can be infinitely larger than the degree of the board being played on. We do so by constructing a family of positions in which the temperature grows twice as fast as the degree of the board.
Conservé avec la notice de tri, où il sert de preuve aux étiquettes ci-dessus.
La notice
- Revue
- arXiv (Cornell University)
- Thématique
- Calibration and Measurement Techniques
- Domaine
- Engineering
- Établissements canadiens
- —
- Organismes subventionnaires
- Natural Sciences and Engineering Research Council of Canada
- Mots-clés
- Computer science
- Résumé présent dans OpenAlex
- oui