Normed division domains

Gol'denberg, M. M.

doi:10.7939/r3hd7p21z

2001

DOI: 10.7939/r3hd7p21z

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Normed division domains

M. M. Gol'denberg¹

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2009

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A substitution theorem for graceful trees and its applications

Mavronicolas

Michael

2009

Discrete Mathematics

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a b s t r a c tA graceful labeling of a graph G = (V , E) assigns |V | distinct integers from the set {0, . . . , |E|} to the vertices of G so that the absolute values of their differences on the |E| edges of G constitute the set {1, . . . , |E|}. A graph is graceful if it admits a graceful labeling.The forty-year old Graceful Tree Conjecture, due to Ringel and Kotzig, states that every tree is graceful.We prove a Substitution Theorem for graceful trees, which enables the construction of a larger graceful tree through combining smaller and not necessarily identical graceful trees. We present applications of the Substitution Theorem, which generalize earlier constructions combining smaller trees.

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A substitution theorem for graceful trees and its applications

Mavronicolas

Michael

2009

Discrete Mathematics

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Normed division domains

Cited by 1 publication

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A substitution theorem for graceful trees and its applications

A substitution theorem for graceful trees and its applications

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