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A Study on Topological Integer Additive Set-Labeling of Graphs [PDF]
A set-labeling of a graph $G$ is an injective function $f:V(G)\to \mathcal{P}(X)$, where $X$ is a finite set and a set-indexer of $G$ is a set-labeling such that the induced function $f^{\oplus}:E(G)\to \mathcal{P}(X)-\{\emptyset\}$ defined by $f ...
Sudev Naduvath
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A study on integer additive set-valuations of signed graphs [PDF]
Let $\mathbb{N}_0$ denote the set of all non-negative integers and $\mathcal{P}(\mathbb{N}_0)$ be its power set. An integer additive set-labeling (IASL) of a graph $G$ is an injective set-valued function $f:V(G)\to\mathcal{P}(\mathbb{N}_0)\setminus ...
N.K. Sudev, K.A. Germina
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Topological Integer Additive Set-Sequential Graphs
Let \(\mathbb{N}_0\) denote the set of all non-negative integers and \(X\) be any non-empty subset of \(\mathbb{N}_0\). Denote the power set of \(X\) by \(\mathcal{P}(X)\). An integer additive set-labeling (IASL) of a graph \(G\) is an injective function
Sudev Naduvath +2 more
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(s, d) Magic Labeling of some ladder graphs [PDF]
Let G(p, q) be a connected, undirected, simple and non-trivial graph with q nodes and q lines. Let f be an injective function f: V(G) →{ s, s + d, s + 2d,.....s + (q +1)d } and g be an injective function g: E(G) → {d,2d,3d,… 2(q-1)d}.Then the graph G is ...
Sumathi P., Mala P.
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Fridman Function, Injectivity Radius Function, and Squeezing Function [PDF]
The statement and proof of Theorem 1.4 has been ...
Tuen Wai Ng +2 more
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In the author's PhD thesis (2019) universal envelopes were introduced as a tool for studying the continuously obtainable information on discontinuous functions.
Eike Neumann
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THE HARMONIOUS, ODD HARMONIOUS, AND EVEN HARMONIOUS LABELING
Suppose is a simple and connected graph with edges. A harmonious labeling on a graph is an injective function so that there exists a bijective function where for each An odd harmonious labeling on a graph is an injective function from to non ...
Ahmad Lasim +2 more
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Injectiveness and Discontinuity of Multiplicative Convex Functions
In the present work we study the set of multiplicative convex functions. In particular, we focus on the properties of injectiveness and discontinuity. We will show that a non constant multiplicative convex function is at most 2-injective, and construct ...
Pablo Jiménez-Rodríguez +3 more
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On analytic injective matrix functions [PDF]
An ingenious generalization of univalent functions of one complex variable into matrix functions was introduced by B. Schwarz, along with two conjectures corresponding to the first coefficient problem and the second coefficient problem for the traditional classes Σ \Sigma and S S , respectively.
Bshouty, D., Hengartner, W.
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On i-Continuous Functions [PDF]
In this paper we prove that the function is i-open if it is injective, surjective and i-continuous from i-compact topological space into -space. Further, we define and find the relationship among some i-separation axioms such as, and.
Sabih W. Askandar
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