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'''Chord''' | '''Chord''' — [[хорда]]. | ||
'''1.''' (For a subgraph <math>G_{1}</math> of <math>G</math>) An edge <math>e \in E(G) - E(G_{1})</math> | '''1.''' (For a [[subgraph]] <math>\,G_{1}</math> of <math>\,G</math>) An [[edge]] <math>e \in E(G) - E(G_{1})</math> | ||
connecting two vertices of <math>G_{1}</math> is called a '''chord'''. | connecting two [[vertex|vertices]] of <math>\,G_{1}</math> is called a '''chord'''. | ||
'''2.''' (For a hypergraph) A '''chord''' of a ''hypercycle'' <math>C</math> is an edge | '''2.''' (For a [[hypergraph]]) A '''chord''' of a ''[[hypercycle]]'' <math>\,C</math> is an edge | ||
<math>e</math> with <math>e_{i} \cap e_{i+1\pmod{k}} \subseteq e</math> for at least three | <math>\,e</math> with <math>e_{i} \cap e_{i+1\pmod{k}} \subseteq e</math> for at least three | ||
indices <math>i, \; 1 \leq i \leq k</math>. | indices <math>\,i, \; 1 \leq i \leq k</math>. | ||
==Литература== | |||
* Евстигнеев В.А., Касьянов В.Н. Словарь по графам в информатике. — Новосибирск: Сибирское Научное Издательство, 2009. |