The 1 , 2 , 3-Conjecture And 1 , 2-Conjecture For Sparse Graphs

The 1, 2, 3-Conjecture states that the edges of a graph without isolated edges can be labeled from {1, 2, 3} so that the sums of labels at adjacent vertices are distinct. The 1, 2-Conjecture states that if vertices also receive labels and the vertex label is added to the sum of its incident edge lab...

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Bibliographic Details
Main Authors: Cranston Daniel W., Jahanbekam Sogol, West Douglas B.
Format: Article
Language:English
Published: Sciendo 2014-11-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
1
2
Online Access:https://doi.org/10.7151/dmgt.1768