Results 11 to 20 of about 307 (247)
Addendum for the article Radio Graceful Labelling of Graphs [PDF]
Additional references listed for the article: Saha, Laxman and Basunia, Alamgir Rahaman (2020) "Radio Graceful Labelling of Graphs," Theory and Applications of Graphs: Vol. 7: Iss. 1, Article 7.
Laxman Saha, Alamgir Basunia
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Computer search for graceful labeling: a survey [PDF]
Summary: This paper surveys the main computer search results for finding graceful labeling of trees. The paper is devoted to the memory of Mirka Miller, who made an outstanding contribution to the area of graph labeling.
Ljiljana Brankovic, Michael J. Reynolds
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Relaxed Graceful Labellings of Trees [PDF]
A graph $G$ on $m$ edges is considered graceful if there is a labelling $f$ of the vertices of $G$ with distinct integers in the set $\{0,1,\dots,m\}$ such that the induced edge labelling $g$ defined by $g(uv)=|f(u)-f(v)|$ is a bijection to $\{1,\dots,m\}$. We here consider some relaxations of these conditions as applied to tree labellings: 1.
Frank Van Bussel
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Characterizations of kites as graceful graphs [PDF]
We introduce and study an infinite family of graceful graphs, which we call kites. The kites are graphs where a path is joined with a graph "forming" a kite.
Miroslav Haviar, Katarina Kotuľová
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Graceful labellings of paths [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cattell, Rohan
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Ordered graceful labellings of the 2-star [PDF]
The authors investigate ordered graceful labellings of 2-stars. They give a lower bound on the number of non-equivalent ordered graceful labellings by constructing an exponential number of such labellings. This shows that a conjecture of Cahit is false.
Richard J. Nowakowski +1 more
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Graceful Labelling for Complete Bipartite Fuzzy Graphs [PDF]
The concept of fuzzy graceful labelling is introduced. A graph which admits a fuzzy graceful labelling is called a fuzzy graceful graph. Fuzzy graceful labelled graphs are becoming an increasingly useful family of mathematical models for a broad range of
R. Jebesty Shajila, S. Vimala
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Graceful Labelling: State of the Art, Applications and Future Directions [PDF]
This paper takes a close look at graceful labelling and its applications. We pay special attention to the famous Graceful Tree Conjecture, which has attracted a lot of interest and engaged many researchers over the last 40+ years, and yet to this day ...
Wanless, Ian M, Brankovic, Ljiljana
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EVEN GRACEFUL LABELLING OF A CLASS OF TREES [PDF]
A labelling or numbering of a graph G with q edges is an assignment of labels to the vertices of G that induces for each edge uv a labelling depending on the vertex labels f(u) and f(v).
Rajesh Kumar T.J, Mathew Varkey T.K
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Osteoarthritis medical labelling and health-related quality of life in the general population. [PDF]
Background: Osteoarthritis is the most common chronic joint disease. In the absence of an effective medical treatment and due to the chronic nature of this condition, an osteoarthritis medical diagnosis may finally result in decreased health-related ...
Lourenço S +5 more
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