3 citations · 3 across the 13 of their papers we have counts for
13 papers
Nonstandard Transfinite Digraphs
A. H. Zemanian
Nonstandard digraphs and transfinite digraphs have been defined and examined in two prior technical reports. The present work examines digraphs that are both nonstandard and transf…
Transfinite Digraphs
A. H. Zemanian
Transfinite graphs have been defined and examined in a variety of prior works, but transfinite digraphs had not as yet been investigated. The present work embarks upon such a task.…
Nonstandard Digraphs
A. H. Zemanian
Nonstandard graphs have been defined and examined in prior works. The present work does the same for nonstandard digraphs. Since digraphs have more structure than do graphs, the pr…
A Circuit-Theoretic Anomaly Resolved by Nonstandard Analysis
A. H. Zemanian
An anomaly in electrical circuit theory is the disappearance of some of the energy when two capacitors, one charged and the other uncharged, are connected together through resistan…
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…