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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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Variation Of Labeling Some Family Of Graph [PDF]
In this paper, we investigate mean square cordial labeling of Windmill graph and star graph and 1 - Near mean cordial labeling of Helm ...
Tanveera Sultana. H.M, V.J. Sudhakar
core +1 more source
On Square Sum Labeling of Two Families of Petersen Graphs
A labeling on a graph G with n vertices and m edges is called square sum if there exists a bijection f:VG⟶0,1,2,3,…,n−1 such that the function f∗:EG⟶N defined by f∗st=fs2+ft2, for all st∈EG, is injective.
Zhiqiang Zhang +3 more
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On Integer Cordial Labeling of Some Families of Graphs
An integer cordial labeling of a graph $G(p,q)$ is an injective map $f:V\rightarrow [-\frac{p}{2}...\frac{p}{2}]^*$ or $[-\lfloor{\frac{p}{2}\rfloor}...\lfloor{\frac{p}{2}\rfloor}]$ as $p$ is even or odd, which induces an edge labeling $f^*: E ...
S Sarah Surya, Lian Mathew, Alan Thomas
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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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Antimagic labeling of regular graphs [PDF]
A graph G = (V, E ) is antimagic if there is a one-to-one correspondence f : E → {1, 2,..., |E|} such that for any two vertices u, v, Σe∈ E(u) f(e)≠Σe∈E(v ) f(e).
Feihuang Chang; Yu-Chang Liang; Zhishi Pan; Xuding Zhu
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Summarizing Labeled Multi-graphs
17 pages, 8 figures, 4 ...
Dimitris Berberidis +2 more
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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
PAIR MEAN CORDIAL LABELING OF HURDLE, KEY, LOTUS, AND NECKLACE GRAPHS
Let be a graph with vertices and edges. Define and . Consider a mapping by assigning different labels in to the different elements of when is even and different labels in to elements of V and repeating a label for the remaining one ...
R Ponraj, S Prabhu
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Note on edge irregular reflexive labelings of graphs
For a graph , an edge labeling and a vertex labeling are called total -labeling, where . The total -labeling is called an edge irregular reflexive -labeling of the graph , if for every two different edges and of , one has The minimum for which the graph ...
Martin Bača +4 more
doaj +1 more source

