4 citations · 4 across the 5 of their papers we have counts for
9 papers
A Characterization of Geodetic Graphs in Terms of their Embedded Even Graphs
Carlos E. Frasser
The problem of finding the general classification of geodetic graphs is still open. We believe that one of the obstacles to attain this goal is that geodetic graphs lack a structur…
Block Designs and K-Geodetic Graphs: A Survey
Carlos E. Frasser
K-geodetic graphs (K capital) are defined as graphs in which each pair of nonadjacent vertices has at most K paths of minimum length between them. A K-geodetic graph is geodetic if…
A Course of Algebra (PART I)
Carlos E. Frasser
The following is an exposition of a course of algebra that Prof. Aleksandr Aleksandrovich Zykov (1922-2013) distributed among the participants of his seminar in graph theory not fa…
On a Problem of Ramsey Theory
Carlos E. Frasser
In 1955, Greenwood and Gleason showed that the Ramsey number R(3, 3, 3) = 17 by constructing an edge-chromatic graph on 16 vertices in three colors with no triangles. Their techniq…
On the Possibility of a Connection between the Construction of a Class of Bigeodetic Blocks and the Existence Problem for Biplanes
Carlos E. Frasser
Graph theory and enumerative combinatorics are two branches of mathematical sciences that have developed astonishingly over the past one hundred years. It is especially important t…
The Open Problem of Finding a General Classification of Geodetic Graphs
Carlos E. Frasser
This note describes some open problems that can be examined with the purpose of gaining additional insight of how to solve the problem of finding a general classification of geodet…
K-Geodetic Graphs and their Applications to Analysis across Different Scales of Dynamics of Complex Systems
Carlos E. Frasser, George N. Vostrov
This paper describes a new approach to the problem of the structural research of clusters based on the theory of geodetic and k-geodetic graphs. We firmly believe that this same ap…
Topological Analysis and Synthesis of Structures related to Certain Classes of K-Geodetic Computer Networks
Carlos E. Frasser
A fundamental characteristic of computer networks is their topological structure. The question of the description of the structural characteristics of computer networks represents…
Geodetic Graphs Homeomorphic to a Given Geodetic Graph
Carlos E. Frasser, George N. Vostrov
This paper describes a new approach to the problem of generating the class of all geodetic graphs homeomorphic to a given geodetic one. An algorithmic procedure is elaborated to ca…