Results 91 to 100 of about 10,813,555 (336)

The Crossing Number of Join of the Generalized Petersen Graph P(3, 1) with Path and Cycle

open access: yesDiscussiones Mathematicae Graph Theory, 2018
There are only few results concerning the crossing numbers of join of some graphs. In this paper, the crossing numbers of join products for the generalized Petersen graph P(3, 1) with n isolated vertices as well as with the path Pn on n vertices and with
Ouyang Zhang Dong   +2 more
doaj   +1 more source

Autophagy in cancer and protein conformational disorders

open access: yesFEBS Letters, EarlyView.
Autophagy plays a crucial role in numerous biological processes, including protein and organelle quality control, development, immunity, and metabolism. Hence, dysregulation or mutations in autophagy‐related genes have been implicated in a wide range of human diseases.
Sergio Attanasio
wiley   +1 more source

A Comparison of Void-finding Algorithms Using Crossing Numbers

open access: yesThe Astrophysical Journal, 2023
We study how well void-finding algorithms identify cosmic void regions and whether we can quantitatively and qualitatively compare the voids they find with dynamical information from the underlying matter distribution.
Dahlia Veyrat   +2 more
doaj   +1 more source

A stepwise emergence of evolution in the RNA world

open access: yesFEBS Letters, EarlyView.
How did biological evolution emerge from chemical reactions? This perspective proposes a gradual scenario of self‐organization among RNA molecules, where catalytic feedback on random mixtures plays the central role. Short oligomers cross‐ligate, and self‐assembly enables heritable variations. An event of template‐externalization marks the transition to
Philippe Nghe
wiley   +1 more source

In vivo evidence for glycyl radical insertion into a catalytically inactive variant of pyruvate formate‐lyase

open access: yesFEBS Letters, EarlyView.
Dimeric pyruvate formate‐lyase cleaves pyruvate using a radical‐based mechanism. G734 serves as a radical storage location, and the radical is transferred to the catalytic C419 residue. Mutation of the C418‐C419 pair causes loss of enzyme activity, but does not impede radical introduction onto G734. Therefore, cis‐ but not trans‐radical transfer occurs
Michelle Kammel   +2 more
wiley   +1 more source

Triple crossing numbers of graphs [PDF]

open access: yes, 2012
We introduce the triple crossing number, a variation of crossing number, of a graph, which is the minimal number of crossing points in all drawings with only triple crossings of the graph.
Tanaka, Hiroyuki, Teragaito, Masakazu
core  

Conjectures About Wheels Without One Edge with Paths and Cycles

open access: yesMathematics
The crossing number cr(G) of a graph G is the minimum number of edge crossings over all drawings of G in the plane. The main aim of this paper is to give the crossing numbers of the join products G*+Pn and G*+Cn for the connected graph G* obtained by ...
Michal Staš, Mária Timková
doaj   +1 more source

The Graph Crossing Number and its Variants: A Survey

open access: yes, 2013
The crossing number is a popular tool in graph drawing and visualization, but there is not really just one crossing number; there is a large family of crossing number notions of which the crossing number is the best known.
M. Schaefer
semanticscholar   +1 more source

Evolutionary interplay between viruses and R‐loops

open access: yesFEBS Letters, EarlyView.
Viruses interact with specialized nucleic acid structures called R‐loops to influence host transcription, epigenetic states, latency, and immune evasion. This Perspective examines the roles of R‐loops in viral replication, integration, and silencing, and how viruses co‐opt or avoid these structures.
Zsolt Karányi   +4 more
wiley   +1 more source

Exploring the Crossing Numbers of Three Join Products of 6-Vertex Graphs with Discrete Graphs

open access: yesMathematics
The significance of searching for edge crossings in graph theory lies inter alia in enhancing the clarity and readability of graph representations, which is essential for various applications such as network visualization, circuit design, and data ...
Michal Staš, Mária Švecová
doaj   +1 more source

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