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Minimal Sum Labeling of Graphs [PDF]
A graph $G$ is called a sum graph if there is a so-called sum labeling of $G$, i.e. an injective function $\ell: V(G) \rightarrow \mathbb{N}$ such that for every $u,v\in V(G)$ it holds that $uv\in E(G)$ if and only if there exists a vertex $w\in V(G)$ such that $\ell(u)+\ell(v) = \ell(w)$. We say that sum labeling $\ell$ is minimal if there is a vertex
Matěj Konečný +5 more
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Edge even graceful labelling of some book graphs
Elsonbaty and Daoud introduced a new type of labelling of a graph G with p vertices and q edges called an edge even graceful labelling if there is a bijection f from the edges of the graph to the set $\{2, 4,\ldots , 2q\}$ such that, when each vertex is ...
S.N. Daoud, Ahmed N. Elsawy
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Super Edge Bimagic and Trimagic Total Labeling for some Graphs. [PDF]
A super edge trimagic total labeling (SETTL) of a graph Γ with α vertices and β edges is a bijection Φ:[V (Γ) ∪ E(Γ)] ⟶{1,2,3,· · · ,α+β} such that for each edge ϑω∈E(Γ), the value of the formula [ Φ(ϑ)+Φ(ω)+Φ(ϑω)] is either Κ_1 or Κ_2 or Κ_3, with the ...
Mohamed R. Zeen El Deen +3 more
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Labelling the axes of graphs … [PDF]
Nature 316, 489 (1985). IN this Scientific Correspondence contribution, the third paragraph should begin: 'The example quoted above requires the observation that if "Radioactivity = 5 x 103 c.p.m." then "5 = (Radioactivity ? l(T3)/c.p.m." or "5 = 103 (Radioactivity/c.p.m.)" or "5 = Radioactivity/(C.p.
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Enumeration Of Labelled Graphs [PDF]
1. Introduction. The number of connected linear graphs having V vertices labelled 1, … , V and λ (unlabelled) lines is found below. Similar formulas are found for graphs in which slings, lines “in parallel,” or both are allowed and for directed graphs with or without slings or parallel lines.
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Hyperosmotic stress induces PARP1‐mediated HPF1‐dependent mono(ADP‐ribosyl)ation
Sorbitol‐induced hyperosmotic stress rapidly induces reversible mono(ADP‐ribosyl)ation (MARylation) on PARP1 without the signs of genotoxic signaling. We show that PARP1 autoMARylation is HPF1 dependent and forms hydroxylamine‐resistant O‐glycosidic linkages.
Anna Georgina Kopasz +11 more
wiley +1 more source
PELABELAN ODD-GRACEFUL PADA GRAF PRODUK SISIR
Gnanajothi defined a graph with edges to be odd-graceful if there is an injective function such that if every edge is labelled with the resulting edge labels are . She proved that the graph obtained by joining one pendant to every vertex in is odd-
Juan Daniel +3 more
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An isoform of 14‐3‐3 protein regulates transbilayer lipid movement at the plasma membrane
Loss of 14‐3‐3ζ in CHO cells confers resistance to exogenous phosphatidylserine (PS) and impairs endocytosis‐independent inward flip‐flop of fluorescent PS at the plasma membrane. RNAi‐mediated knockdown reproduces this defect, while no additive effect is seen in ATP11C‐deficient cells.
Akiko Yamaji‐Hasegawa +3 more
wiley +1 more source
Characterizations of kites as graceful graphs
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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On (p, 1)-Total Labelling of Some 1-Planar Graphs
A graph is 1-planar if it can be drawn on the plane so that each edge is crossed by at most one other edge. In this paper, it is proved that the (p, 1)-total labelling number (p ≥ 2) of every 1-planar graph G is at most Δ(G) + 2p − 2 provided that Δ (G) ≥
Niu Bei, Zhang Xin
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