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Harmonious order of graphs

✍ Scribed by Andrzej Żak


Book ID
108114155
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
691 KB
Volume
309
Category
Article
ISSN
0012-365X

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📜 SIMILAR VOLUMES


Harmonious labelings of windmill graphs
✍ D. Frank Hsu 📂 Article 📅 1982 🏛 John Wiley and Sons 🌐 English ⚖ 115 KB

## Abstract A strongly harmonious labeling is the nonmodular version of a harmonious labeling. The windmill graph __K__^(__t__^)~__n__~ is the graph consisting of __t__ copies of the complete graph __K~n~__ with a vertex in common. It is shown that, for __t__ ≥ 1, __K__^(__t__^)~__n__~ is strongly

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✍ John P. Georges 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 741 KB

## Abstract The hermonious coloring number of the graph __G, HC__(__G__), is the smallest number of colors needed to label the vertices of __G__ such that adjacent vertices received different colors and no two edges are incident with the same color pair. In this paper, we investigate the __HC__‐num

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✍ Eugene Levine 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 125 KB

Let K~ ) be the umon of two complete graphs on n vertices which have preosely one vertex in common. Graham and Sloane have shown that K~ ~ is not harmomous for n od:~, /(~,~ is harmonious, and K~62~ is not harmonious. They also conjecture that K~' t,, not h,~rmomous except for n = 4. Here, it Is sho