scholarly journals Isomorphisms and automorphisms of graph coverings

1991 ◽  
Vol 98 (3) ◽  
pp. 175-183 ◽  
Author(s):  
M. Hofmeister
Keyword(s):  
Graph Coverings

Graph Coverings and (Im)primitive Homology: Examples of Low Degree

2021 ◽  
pp. 1-8
Author(s):  
Destine Lee ◽  
Iris Rosenblum-Sellers ◽  
Jakwanul Safin ◽  
Anda Tenie
Keyword(s):  
Low Degree ◽  
Graph Coverings

scholarly journals Graph Coverings for Investigating Non Local Structures in Proteins, Music and Poems

2021 ◽  
Author(s):  
Michel Planat ◽  
Raymond Aschheim ◽  
Marcelo Amaral ◽  
Fang Fang ◽  
Klee Irwin
Keyword(s):  
Group Structure ◽  
Charles Baudelaire ◽  
Arthur Rimbaud ◽  
Local Structures ◽  
Apolipoprotein H ◽  
Non Local ◽  
Graph Coverings ◽  
Secondary Structure Of Proteins ◽  
Structure Of Proteins ◽  
Musical Forms

It is shown how the secondary structure of proteins, musical forms and verses of poems are approximately ruled by universal laws relying on graph coverings. In this direction, one explores the group structure of a variant of the SARS-Cov-2 spike protein and the group structure of apolipoprotein-H, passing from the primary code with amino acids to the secondary structures organizing the foldings. Then one look at the musical forms employed in the classical and contemporary periods. Finally, one investigates in much detail the group structure of a small poem in prose by Charles Baudelaire and that of the Bateau Ivre by Arthur Rimbaud.

scholarly journals Zeta Functions for Images of Graph Coverings by Some Operations

2001 ◽  
Vol 7 (1) ◽  
pp. 53-60 ◽  
Author(s):  
Hirobumi MIZUNO ◽  
Iwao SATO
Keyword(s):  
Zeta Functions ◽  
Graph Coverings

scholarly journals Graph Coverings for Investigating Non Local Structures in Proteins, Music and Poems

2021 ◽  
Author(s):  
Michel Planat ◽  
Raymond Aschheim ◽  
Marcelo M Amaral ◽  
Fang Fang ◽  
Klee Irwin
Keyword(s):  
Group Structure ◽  
Charles Baudelaire ◽  
Arthur Rimbaud ◽  
Local Structures ◽  
Apolipoprotein H ◽  
Non Local ◽  
Graph Coverings ◽  
Secondary Structure Of Proteins ◽  
Structure Of Proteins ◽  
Musical Forms

It is shown how the secondary structure of proteins, musical forms and verses of poems are approximately ruled by universal laws relying on graph coverings. In this direction, one explores the group structure of a variant of the SARS-Cov-2 spike protein and the group structure of apolipoprotein-H, passing from the primary code with amino acids to the secondary structures organizing the foldings. Then one look at the musical forms employed in the classical and contemporary periods. Finally, one investigates in much detail the group structure of a small poem in prose by Charles Baudelaire and that of the Bateau Ivre by Arthur Rimbaud.

scholarly journals Weighted Zeta Functions of Graph Coverings

10.37236/1117 ◽  
2006 ◽  
Vol 13 (1) ◽  
Author(s):  
Iwao Sato
Keyword(s):  
Zeta Function ◽  
Zeta Functions ◽  
Equivalence Classes ◽  
Signed Graphs ◽  
Base Graph ◽  
Regular Covering ◽  
Decomposition Formula ◽  
Graph Coverings

We present a decomposition formula for the weighted zeta function of an irregular covering of a graph by its weighted $L$-functions. Moreover, we give a factorization of the weighted zeta function of an (irregular or regular) covering of a graph by equivalence classes of prime, reduced cycles of the base graph. As an application, we discuss the structure of balanced coverings of signed graphs.

scholarly journals Monadic Second-Order Logic, Graphs and Unfoldings of Transition Systems

1995 ◽  
Vol 2 (44) ◽  
Author(s):  
Bruno Courcelle ◽  
Igor Walukiewicz
Keyword(s):  
Transition System ◽  
Second Order ◽  
Order Logic ◽  
Order Property ◽  
Transition Systems ◽  
Graph Coverings ◽  
Second Order Logic ◽  
Monadic Second Order Logic

We prove that every monadic second-order property of the unfolding<br />of a transition system is a monadic second-order property of the<br />system itself. We prove a similar result for certain graph coverings.

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