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We prove the non-planarity of a family of 3-regular graphs constructed from the solutions to the Markoff equation x2 + y2 + z2 = xyz modulo prime numbers greater than 7. The proof uses Euler characteristic and an enumeration of the short cycles in these gr ...
Author summaryWhen two protein families interact, their sequences feature statistical dependencies. First, interacting proteins tend to share a common evolutionary history. Second, maintaining structure and interactions through the course of evolution yiel ...
The lecture discussed the longhouse, the linear, long, and narrow habitation typology that existed and still exists in many parts of the world, including South-East Asia, Europe, and North America. While there are numerous scholarly investigations of speci ...
Student accommodation became a problem only a century after the foundation of the first universities in Europe in the 12th century. At the very beginning students had to provide their own lodgings autonomously. In many university cities the situation prove ...
Among heterosexual couples, employment of the female partner may suffer from household migration often driven by the job of the male partner. Most research has traditionally focused on the distance moved after couple formation and has neglected how far par ...
We initiate the study of certain families of L-functions attached to characters of subgroups of higher-rank tori, and of their average at the central point. In particular, we evaluate the average of the values L( 2 1 , chi a )L( 21 , chi b ) for arbitrary ...
In the history of education, college represented an alternative to family life. At college, children and adolescents were separated from the care of their parents and integrated into a religious or secular community for their civic or professional educatio ...
Ulam asked whether every connected Lie group can be represented on a countable structure. This is known in the linear case. We establish it for the first family of non-linear groups, namely in the nilpotent case. Further context is discussed to illustrate ...
WALTER DE GRUYTER GMBH2022
Understanding the historical and overlapping complexities related to the queer subject, the single bed, and the emergence of the rooming house, helps frame larger theoretical questions about the neglected, yet contradicting by nature, category of queer dom ...
Molybdenum cofactor deficiency type B (MOCODB; #252160) is an autosomal recessive metabolic disorder that has only been described in 37 affected patients. In this report, we describe the presence of an in-frame homozygous variant (c.471_477delTTTAAAAinsG) ...