5 papers
Eulers Graph World - Purity, Regularity and Evenness -Law of Nature? - Constructions and Examples
Suryaprakash Nagoji Rao
We propose a Law of Nature? Viz., Pure Regularity Occurs at Naïve Levels and Regularity has Affinity with Evenness. In a series of three papers, it was established that regular Eul…
Eulers Graph World -- More Conjectures On Gracefulness Boundaries-III
Suryaprakash Nagoji Rao
Euler graphs with only one (two) type(s) of cycles under (mod 4) operation were studied in Part-I(II). Here we consider the class of Euler graphs with only three types of cycles un…
Eulers Graph World -- More Conjectures On Gracefulness Boundaries-II
Suryaprakash Nagoji Rao
The subclass of Euler graphs with only one type of cycles under (mod 4) operation was studied in Part-1 of this series. It was established that such graphs under regularity are non…
Eulers Graph World -- More Conjectures On Gracefulness Boundaries-I
Suryaprakash Nagoji Rao
Euler graphs are characterized by the simple criterion that degree of each node is even. By restricting on the cycle types yet additional intrinsic properties of Euler graphs are u…
Graceful and Prime Labelings -- Algorithms, Embeddings and Conjectures
Suryaprakash Nagoji Rao
Four algorithms giving rise to graceful graphs from a known (non)graceful graph are described. Some necessary conditions for a graph to be highly graceful and critical are given. F…