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Basis number: различия между версиями

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'''Basis number''' --- базисное число.  
'''Basis number''' — ''[[базисное число]].''


A basis <math>{\mathcal B}</math> for cycle space <math>{\mathcal C}(G)</math> is called a <math>d</math>-fold
A basis <math>{\mathcal B}</math> for [[cycle space]] <math>{\mathcal C}(G)</math> is called a <math>\,d</math>-fold
if each edge of <math>G</math> occurs in at most <math>d</math> of the cycles in the basis
if each [[edge]] of <math>G</math> occurs in at most <math>\,d</math> of the [[cycle|cycles]] in the basis
<math>{\mathcal B}</math>. The ''' basis number''' <math>b(G)</math> of <math>G</math> is the least
<math>{\mathcal B}</math>. The '''basis number''' <math>\,b(G)</math> of <math>\,G</math> is the least
non-negative integer <math>d</math> such that <math>{\mathcal C}(G)</math> has a <math>d</math>-fold basis.
non-negative integer <math>\,d</math> such that <math>{\mathcal C}(G)</math> has a <math>\,d</math>-fold basis.
 
==Литература==
 
* Евстигнеев В.А., Касьянов В.Н. Словарь по графам в информатике. — Новосибирск: Сибирское Научное Издательство, 2009.