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A Parameterized Algorithm for Vertex and Edge Connectivity of Embedded Graphs [PDF]

open access: yesarXiv
The problem of computing vertex and edge connectivity of a graph are classical problems in algorithmic graph theory. The focus of this paper is on computing these parameters on embedded graphs. A typical example of an embedded graph is a planar graph which can be drawn with no edge crossings.
arxiv  

Infinite groups with isomorphic power graph and commuting graph [PDF]

open access: yesarXiv
In this paper, we investigate certain graphs defined on groups, with a focus on infinite groups. The graphs discussed are the power graph, the enhanced power graph, and the commuting graph whose vertex set is a group $G$. The power graph is a graph in which two vertices are adjacent if one is some power of the other.
arxiv  

Graph theory representations of engineering systems and their embedded knowledge [PDF]

open access: yes
Balabanian   +14 more
core   +1 more source

Altered Intracerebellar Functional Connectivity in Friedreich's Ataxia: A Graph-Theory Functional MRI Study. [PDF]

open access: yesCerebellum
Tranfa M   +7 more
europepmc   +1 more source

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