On the Beta-Number of Forests with Isomorphic Components [PDF]
The beta-number, β (G), of a graph G is defined to be either the smallest positive integer n for which there exists an injective function f : V (G) → {0, 1, . . .
Ichishima Rikio+3 more
doaj +9 more sources
On the beta-number of linear forests with an even number of components [PDF]
The beta-number of a graph is the smallest positive integer for which there exists an injective function such that each is labeled and the resulting set of edge labels is for some positive integer . The beta-number of is , otherwise.
Rikio Ichishima, Akito Oshima
doaj +5 more sources
On the strong beta-number of galaxies with three and four components [PDF]
The beta-number of a graph is the smallest positive integer for which there exists an injective function such that each is labeled and the resulting set of edge labels is for some positive integer . The beta-number of is if there exists no such integer .
Rikio Ichishima+2 more
doaj +2 more sources
Density Fluctuation–Mach Number Scaling in Compressible, High Plasma Beta Turbulence: In Situ Space Observations and High-Reynolds Number Simulations [PDF]
Understanding the nature of compressible fluctuations in a broad range of turbulent plasmas, from the intracluster medium to the solar wind, has been an active field of research in the past decades.
Riddhi Bandyopadhyay+2 more
doaj +3 more sources
On the beta-number and gamma-number of galaxies [PDF]
Rikio Ichishima+2 more
doaj +1 more source
Formulated New Identities of Fibonacci Numbers with James Abacus Diagram
This paper focuses on developing a strategy to represent a new Fibonacci identity using James abacus. The idea of a Graphical chain with respect to the beta numbers and abacus was established to count the number of ways to tile a James diagram chain ...
Eman F. Mohommed
doaj +1 more source
Glucose regulates rat beta cell number through age-dependent effects on beta cell survival and proliferation. [PDF]
BACKGROUND: Glucose effects on beta cell survival and DNA-synthesis suggest a role as regulator of beta cell mass but data on beta cell numbers are lacking.
Zerihun Assefa+7 more
doaj +1 more source
Background: There is controversy about the role of beta-blockers in the number of acute exacerbations in patients with chronic obstructive pulmonary disease (COPD).
Hemin Khalid Saber
doaj +1 more source
Beta cell count instead of beta cell mass to assess and localize growth in beta cell population following pancreatic duct ligation in mice. [PDF]
BACKGROUND: Pancreatic-tail duct ligation (PDL) in adult rodents has been reported to induce beta cell generation and increase beta cell mass but increases in beta cell number have not been demonstrated.
Marie Chintinne+5 more
doaj +1 more source
Survivin is required for beta-cell mass expansion in the pancreatic duct-ligated mouse model. [PDF]
AIMS/HYPOTHESIS:Pancreatic beta-cell mass expands through adulthood under certain conditions. The related molecular mechanisms are elusive. This study was designed to determine whether surviving (also known as Birc5), which is transiently expressed ...
Xiaohong Wu+7 more
doaj +1 more source