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001-es BibID:	BIBFORM067135
035-os BibID:	(WOS)000379180600012 (Scopus)84975295553
Első szerző:	Győry Kálmán (matematikus)
Cím:	Representation of finite graphs as difference graphs of S-units. II / K. Győry, L. Hajdu, R. Tijdeman
Dátum:	2016
ISSN:	0236-5294
Megjegyzések:	In part I of the present paper the following problem was investigated. Let G be a finite simple graph, and S be a finite set of primes. We say that G is representable with S if it is possible to attach rational numbers to the vertices of G such that the vertices v1; v2 are connected by an edge if and only if the difference of the attached values is an S-unit. In part I we gave several results concerning the representability of graphs in the above sense. In the present paper we extend the results from paper I to the algebraic number field case and make some of them effective. Besides we prove some new theorems: we prove that G is infinitely representable with S if and only if it has a degenerate representation with S, and we also deal with the representability with S of the union of two graphs of which at least one is finitely representable with S.
Tárgyszavak:	Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény hazai lapban folyóiratcikk Arithmetic graphs cubical graphs representability S-unit equations
Megjelenés:	Acta Mathematica Hungarica. - 149 : 2 (2016), p. 423-447. -
További szerzők:	Hajdu Lajos (1968-) (matematikus) Tijdeman, Robert
Pályázati támogatás:	OTKA-100339 OTKA OTKA-115479 OTKA OTKA-NK104208 OTKA
Internet cím:	Szerző által megadott URL DOI Intézményi repozitóriumban (DEA) tárolt változat
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