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 …
such that the function $ f^{\oplus}: E (G)\rightarrow2^{X}-\{\emptyset\} $ defined by …
Some new results on strong integer additive set-indexers of graphs
NK Sudev, KA Germina - Discrete mathematics, algorithms and …, 2015 - World Scientific
Let ℕ0 be the set of all non-negative integers. An integer additive set-indexer (IASI) of a
graph G is an injective function f: V (G)→ 2ℕ0 such that the induced function gf: E (G)→ 2ℕ0 …
graph G is an injective function f: V (G)→ 2ℕ0 such that the induced function gf: E (G)→ 2ℕ0 …
A characterisation of weak integer additive set-indexers of graphs
NK Sudev, KA Germina - arXiv preprint arXiv:1310.5779, 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} …
2^{\mathbb {N} _0} $ such that the induced function $ g_f: E (G)\rightarrow 2^{\mathbb {N} …
A study on topological integer additive set-labeling of graphs
NK Sudev, KA Germina - arXiv preprint arXiv:1407.4533, 2014 - arxiv.org
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 …
X $ is a finite set and a set-indexer of $ G $ is a set-labeling such that the induced function …
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} …
2^{\mathbb {N} _0} $ such that the induced function $ g_f: E (G)\rightarrow 2^{\mathbb {N} …
On certain arithmetic integer additive set-indexers of graphs
NK Sudev, KA Germina - Discrete Mathematics, Algorithms and …, 2015 - World Scientific
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 …
additive set-indexer (IASI) of a graph G is an injective function f: V (G)→ 𝒫 (ℕ0) such that the …
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} …
2^{\mathbb {N} _0} $ such that the induced function $ g_f: E (G)\rightarrow 2^{\mathbb {N} …
A study on integer additive set-graceful graphs
NK Sudev, KA Germina - arXiv preprint arXiv:1403.3984, 2014 - arxiv.org
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 …
X $ is a finite set and a set-indexer of $ G $ is a set-labeling such that the induced function …
On integer additive set-sequential graphs
NK Sudev, KA Germina - Int. J. Math. Combin, 2015 - books.google.com
A set-labeling of a graph G is an injective function f: V (G)→ P (X), where X is a finite set of
non-negative integers and a set-indexer of G is a set-labeling such that the induced function …
non-negative integers and a set-indexer of G is a set-labeling such that the induced function …
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 …
such that the function $ f^{\oplus}: E (G)\rightarrow2^{X}-\{\emptyset\} $ defined by …