On integer additive set-indexers of graphs

NK Sudev, KA Germina - arXiv preprint arXiv:1312.7672, 2013 - arxiv.org
A set-indexer of a graph $ G $ is an injective set-valued function $ f: V (G)\rightarrow2^{X} $
such that the function $ f^{\oplus}: E (G)\rightarrow2^{X}-\{\emptyset\} $ defined by …

Weak integer additive set-indexers of certain graph operations

NK Sudev, KA Germina - arXiv preprint arXiv:1310.6091, 2013 - arxiv.org
An integer additive set-indexer is defined as an injective function $ f: V (G)\rightarrow
2^{\mathbb {N} _0} $ such that the induced function $ g_f: E (G)\rightarrow 2^{\mathbb {N} …

A note on the sparing number of graphs

NK Sudev, KA Germina - arXiv preprint arXiv:1402.4871, 2014 - arxiv.org
An integer additive set-indexer is defined as an injective function $ f: V (G)\rightarrow
2^{\mathbb {N} _0} $ such that the induced function $ g_f: E (G)\rightarrow 2^{\mathbb {N} …

A study on arithmetic integer additive set-indexers of graphs

NK Sudev, KA Germina - arXiv preprint arXiv:1312.7674, 2013 - arxiv.org
A set-indexer of a graph $ G $ is an injective set-valued function $ f: V (G)\rightarrow2^{X} $
such that the function $ f^{\oplus}: E (G)\rightarrow2^{X}-\{\emptyset\} $ defined by …

On weak integer additive set-indexers of certain graph classes

NK Sudev, KA Germina - Journal of Discrete Mathematical …, 2015 - Taylor & Francis
Let ℕ0 denote the set of all non-negative integers and P (ℕ0) be its power set. An integer
additive set-indexer (IASI) of a graph G is an injective function f: V (G)→ P (ℕ0) such that the …

Sumset valuations of graphs and their applications

S Naduvath, GK Augusthy, J Kok - Handbook of Research on …, 2020 - igi-global.com
Graph labelling is an assignment of labels to the vertices and/or edges of a graph with
respect to certain restrictions and in accordance with certain predefined rules. The sumset of …

On the sparing number of the edge-corona of graphs

KP Chithra, KA Germina, NK Sudev - arXiv preprint arXiv:1505.04854, 2015 - arxiv.org
Let $\mathbb {N} _0 $ be the set of all non-negative integers and $\mathcal {P}(\mathbb {N}
_0) $ be its the power set. An integer additive set-indexer (IASI) of a graph $ G $ is an …

On the sparing number of certain graph structures

NK Sudev, KA Germina - arXiv preprint arXiv:1311.0345, 2013 - arxiv.org
An integer additive set-indexer is defined as an injective function $ f: V (G)\rightarrow
2^{\mathbb {N} _0} $ such that the induced function $ g_f: E (G)\rightarrow 2^{\mathbb {N} …

Weak integer additive set-indexers of certain graph products

NK Sudev, KA Germina - arXiv preprint arXiv:1311.0858, 2013 - arxiv.org
An integer additive set-indexer is defined as an injective function $ f: V (G)\rightarrow
2^{\mathbb {N} _0} $ such that the induced function $ g_f: E (G)\rightarrow 2^{\mathbb {N} …

[PDF][PDF] Some new results on weak integer additive set-labelings of graphs

NK Sudev, KA Germina - Int. J. Computer Appl, 2015 - academia.edu
Let N0 denote the set of all non-negative integers and P (N0) be its power set. An integer
additive set-labeling (IASL) of a graph G is an injective function f: V (G)→ P (N0) such that …