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On the relation between Wiener index and eccentricity of a graphDarabi, Hamid ...Raziskovano je razmerje med Wienerjevim indeksom ▫$W(G)$▫ in ekscentričnostjo ▫$\varepsilon(G)$▫ grafa ▫$G$▫. Dokazane so spodnje in zgornje meje za ▫$W(G)$▫ v smislu ▫$\varepsilon (G)$▫, določeni so ... ekstremni grafi. Izpeljan je rezultat tipa Nordhaus-Gaddum za ▫$W(G)$▫, ki vključuje ▫$\varepsilon(G)$▫. Dokazana je ostra zgornja meja Wienerjevega indeksa drevesa glede na njegovo ekscentričnost. Dokazano je, da v razredu dreves istega reda razlika ▫$W(T) - \varepsilon(T)$▫ minimalna na gosenicah. Dokazana je natančna formula za ▫$W(T) - \varepsilon(T)$▫ v smislu polmera drevesa ▫$T$▫. Podana je tudi spodnja meja ekscentričnosti drevesa glede ne njegov polmer. Postavljeni sta dve domnevi. Prvi trdi, da se razlika ▫$W(G) - \varepsilon (G)$▫ ne poveča po skrčitvi povezave grafa ▫$G$▫. Druga domneva pravi, da je razlika med Wienerjevim indeksom grafa in njegovo ekscentričnostjo največja na poteh.Source: Journal of combinatorial optimization. - ISSN 1382-6905 (Vol. 41, iss. 4, May 2021, str. 817-829)Type of material - article, component part ; adult, seriousPublish date - 2021Language - englishCOBISS.SI-ID - 65074179
Author
Darabi, Hamid |
Alizadeh, Yaser |
Klavžar, Sandi |
Das, Kinkar Chandra
Topics
Wienerjev indeks |
ekscentričnost |
ekscentrična povezanost |
drevo |
ekstremni graf |
Wiener index |
eccentricity |
eccentric connectivity |
tree |
extremal graph
source: Journal of combinatorial optimization. - ISSN 1382-6905 (Vol. 41, iss. 4, May 2021, str. 817-829)
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Darabi, Hamid | |
Alizadeh, Yaser | |
Klavžar, Sandi | 05949 |
Das, Kinkar Chandra |
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