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Strong geodetic problem in grid like architecturesKlavžar, Sandi ; Manuel, PaulNedavna inačica klasičnega geodetskega problema, krepko geodetski problem, je definirana takole. Če je ▫$G$▫ graf, je ▫${\rm sg}(G)$▫ moč najmanjše množice vozlišč ▫$S$▫, tako da lahko za vsak par ... ▫$\{x,y\}\subseteq S$▫ izberemo fiksno najkrajšo pot med ▫$x$▫ in ▫$y$▫ in teh ▫$\binom{|S|}{2}$▫ poti pokrije vsa vozlišča grafa ▫$G$▫. V tem članku je krepko geodetski problem raziskovan na kartezičnih produktih grafov. Dokazana je splošna zgornja meja za kartezične produkte poti s poljubnimi grafi. Nadalje je dokazano, da je meja natančna za tanke rešetke in tanke cilindre.Source: Bulletin of the Malaysian Mathematical Sciences Society. - ISSN 0126-6705 (Vol. 41, iss. 3, July 2018, str. 1671-1680)Type of material - article, component part ; adult, seriousPublish date - 2018Language - englishCOBISS.SI-ID - 18387033
source: Bulletin of the Malaysian Mathematical Sciences Society. - ISSN 0126-6705 (Vol. 41, iss. 3, July 2018, str. 1671-1680)
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Klavžar, Sandi | 05949 |
Manuel, Paul |
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