3 citations · 3 across the 10 of their papers we have counts for
8 papers · 1 filter
The Galaxies of Nonstandard Enlargements of Infinite and Transfinite grpahs of Higher Ranks: II
A. H. Zemanian
This report is an improvement of a prior report (Report 814). It sharpens the principal theorem (Theorem 5.1 of Report 814) and also simplifies its proof. There are also several mi…
The Galaxies of Nonstandard Enlargements of Infinite and Transfinite Graphs: II
A. H. Zemanian
This report is an improvement of a prior report (Report 813). It sharpens the principal theorems (Theorems 4.2 and 11.2 of Report 813) while simplifying their proofs. There are als…
Bounds on the Nodal Statuses of Some Transfinite Graphs
A. H. Zemanian
The bounds on the statuses of the nodes in a finite graph established by Entringer, Jackson, and Snyder are extended herein so that they apply to the nodes in a transfinite graph o…
The Galaxies of Nonstandard Enlargements of Transfinite Graphs of Higher Rsnks
A. H. Zemanian
In a prior work, the galaxies of the nonstandard enlargements of conventionally infinite graphs and also of transfinite graphs of the first rank of transfiniteness were defined, ex…
The Galaxies of Nonstandard Enlargements of Infinite and Transfinite Graphs
A. H. Zemanian
The galaxies of nonstandard enlargements of conventionally infinite as well as of transfinite graphs are defined, analyzed, and illustrated by some examples. It is then shown that…
Nonstandard Graphs, Revised
A. H. Zemanian
This is a revision of the paper archived previously on August 22, 2002. It corrects a mistake in Sec. 8 concerning eccentricities of graphs. From any given sequence of finite or in…