International Journal of Pure and Apllied Mathematics, 2013
For a simple connected graph G = (V, E), let M ⊆ V and u ∈ V. The M-detour distance pattern of G ... more For a simple connected graph G = (V, E), let M ⊆ V and u ∈ V. The M-detour distance pattern of G is the set f M (u) = {D(u, v) : v ∈ M }. If f M is injective function, then the set M is a detour distance pattern distinguishing set (or, ddpd-set in short) of G. A graph G is defined as detour distance pattern distinguishing (or, ddpd-) graph if it admits a ddpd-set. The objective of this article is to initiate the study of graphs that admit marker set M for which f M is injective. This article establishes some general results on ddpd-graphs.
We describe a new solver for mixed integer nonlinear programs (MINLPs) that implements a lineariz... more We describe a new solver for mixed integer nonlinear programs (MINLPs) that implements a linearization-based algorithm. The solver is based on the algorithm by Quesada and Grossmann, and avoids the complete solution of master mixed integer ...
International Journal of Pure and Apllied Mathematics, 2013
For a simple connected graph G = (V, E), let M ⊆ V and u ∈ V. The M-detour distance pattern of G ... more For a simple connected graph G = (V, E), let M ⊆ V and u ∈ V. The M-detour distance pattern of G is the set f M (u) = {D(u, v) : v ∈ M }. If f M is injective function, then the set M is a detour distance pattern distinguishing set (or, ddpd-set in short) of G. A graph G is defined as detour distance pattern distinguishing (or, ddpd-) graph if it admits a ddpd-set. The objective of this article is to initiate the study of graphs that admit marker set M for which f M is injective. This article establishes some general results on ddpd-graphs.
We describe a new solver for mixed integer nonlinear programs (MINLPs) that implements a lineariz... more We describe a new solver for mixed integer nonlinear programs (MINLPs) that implements a linearization-based algorithm. The solver is based on the algorithm by Quesada and Grossmann, and avoids the complete solution of master mixed integer ...
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Papers by kumar abhishek