Computing with Condensed Graphs

2008 ◽  
Author(s):  
John Morrison
Keyword(s):  
Condensed Graphs

scholarly journals Structure-reactivity relationships in terms of the condensed graphs of reactions

2014 ◽  
Vol 50 (4) ◽  
pp. 459-463 ◽  
Author(s):  
T. I. Madzhidov ◽  
P. G. Polishchuk ◽  
R. I. Nugmanov ◽  
A. V. Bodrov ◽  
A. I. Lin ◽  
...  
Keyword(s):  
Condensed Graphs

scholarly journals Centered Polygonal Lacunary Graphs: A Graph Theoretic Approach to p-Sequences of Centered Polygonal Lacunary Functions

Mathematics ◽  
2019 ◽  
Vol 7 (11) ◽  
pp. 1021 ◽  
Author(s):  
Keith Sullivan ◽  
Drew Rutherford ◽  
Darin J. Ulness
Keyword(s):  
Three Dimensional ◽  
Special Role ◽  
Theoretic Approach ◽  
Scaling Properties ◽  
Graph Theoretic ◽  
Graph Theoretic Approach ◽  
Condensed Graphs ◽  
Dimensional Graph ◽  
Insight Into

This work is on the nature and properties of graphs which arise in the study of centered polygonal lacunary functions. Such graphs carry both graph-theoretic properties and properties related to the so-called p-sequences found in the study of centered polygonal lacunary functions. p-sequences are special bounded, cyclic sequences that occur at the natural boundary of centered polygonal lacunary functions at integer fractions of the primary symmetry angle. Here, these graphs are studied for their inherent properties. A ground-up set of planar graph construction schemes can be used to build the numerical values in p-sequences. Further, an associated three-dimensional graph is developed to provide a complementary viewpoint of the p-sequences. Polynomials can be assigned to these graphs, which characterize several important features. A natural reduction of the graphs original to the study of centered polygonal lacunary functions are called antipodal condensed graphs. This type of graph provides much additional insight into p-sequences, especially in regard to the special role of primes. The new concept of sprays is introduced, which enables a clear view of the scaling properties of the underling centered polygonal lacunary systems that the graphs represent. Two complementary scaling schemes are discussed.

CG3DR: Coordination of icosahedral virus reconstruction using Condensed Graphs

2011 ◽  
Vol 37 (8) ◽  
pp. 451-465
Author(s):  
Chenqi Wang ◽  
Neil Cafferkey ◽  
James Kennedy ◽  
John P. Morrison
Keyword(s):  
Icosahedral Virus ◽  
Condensed Graphs
Sign in / Sign up

Export Citation Format

Share Document