scholarly journals On the Automorphism Groups of Quasiprimitive Almost Simple Graphs

1999 ◽  
Vol 222 (1) ◽  
pp. 271-283 ◽  
Author(s):  
Xin Gui Fang ◽  
George Havas ◽  
Cheryl E. Praeger
Keyword(s):  
Automorphism Groups ◽  
Simple Graphs

scholarly journals Birth–death fixation probabilities for structured populations

2013 ◽  
Vol 469 (2153) ◽  
pp. 20120248 ◽  
Author(s):  
Burton Voorhees
Keyword(s):  
Complete Graph ◽  
Present Model ◽  
Automorphism Groups ◽  
Linear Equations ◽  
Structured Populations ◽  
Edge Weight ◽  
Simple Graphs ◽  
Fixation Probabilities ◽  
Fitness Parameter ◽  
Birth Death

This paper presents an adaptation of the Moran birth–death model of evolutionary processes on graphs. The present model makes use of the full population state space consisting of 2 N binary-valued vectors, and a Markov process on this space with a transition matrix defined by the edge weight matrix for any given graph. While the general case involves solution of 2 N – 2 linear equations, symmetry considerations substantially reduce this for graphs with large automorphism groups, and a number of simple examples are considered. A parameter called graph determinacy is introduced, measuring the extent to which the fate of any randomly chosen population state is determined. Some simple graphs that suppress or enhance selection are analysed, and comparison of several examples to the Moran process on a complete graph indicates that in some cases a graph may enhance selection relative to a complete graph for only limited values of the fitness parameter.

Super Graceful Labeling for Some Simple Graphs

2012 ◽  
Vol 2 (1) ◽  
pp. 35 ◽  
Author(s):  
M. A. Perumal ◽  
S. Navaneethakrishnan ◽  
A. Nagaraja ◽  
S. Arockiaraj
Keyword(s):  
Graceful Labeling ◽  
Simple Graphs

Pentavalent 1-Transitive Digraphs with Non-Solvable Automorphism Groups

2020 ◽  
Vol 51 (4) ◽  
pp. 1919-1930
Author(s):  
Masoumeh Akbarizadeh ◽  
Mehdi Alaeiyan ◽  
Raffaele Scapellato
Keyword(s):  
Automorphism Groups

scholarly journals Serre’s Property (FA) for automorphism groups of free products

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Naomi Andrew
Keyword(s):  
Automorphism Group ◽  
Free Product ◽  
Finite Groups ◽  
Automorphism Groups ◽  
Sufficient Conditions ◽  
Free Products ◽  
Cyclic Groups ◽  
Link Type ◽  
Open Case

AbstractWe provide some necessary and some sufficient conditions for the automorphism group of a free product of (freely indecomposable, not infinite cyclic) groups to have Property (FA). The additional sufficient conditions are all met by finite groups, and so this case is fully characterised. Therefore, this paper generalises the work of N. Leder [Serre’s Property FA for automorphism groups of free products, preprint (2018), https://arxiv.org/abs/1810.06287v1]. for finite cyclic groups, as well as resolving the open case of that paper.

Design Criteria for Safer Manual Lifting by Men and Women

1982 ◽  
Vol 26 (6) ◽  
pp. 503-507
Author(s):  
Dudley G. Letbetter
Keyword(s):  
Muscle Fatigue ◽  
Material Handling ◽  
Human Anatomy ◽  
Design Criteria ◽  
Maximum Weight ◽  
Manual Lifting ◽  
Men And Women ◽  
Simple Graphs ◽  
Cardiovascular Capacity ◽  
Specific Material

Simplified design criteria are provided for two-handed, manual lifting by standing men and women, without selective assignment of personnel to specific material handling tasks. Based on a 1981 NIOSH report, application of these criteria requires no knowledge of human anatomy, anthropometry, biomechanics, psychophysics, muscle fatigue, cardiovascular capacity, or metabolic endurance. A person who can read and use simple graphs can quickly determine the maximum weight of a lifted object. The information needed is the horizontal grasp distance and the initial grasp height and lift distance of the object, plus the frequency and duration of lifting.

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