𝔖 Bobbio Scriptorium
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Scale free interval graphs

✍ Scribed by Naoto Miyoshi; Takeya Shigezumi; Ryuhei Uehara; Osamu Watanabe


Book ID
108281576
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
711 KB
Volume
410
Category
Article
ISSN
0304-3975

No coin nor oath required. For personal study only.


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A graph G = (V, E) is said to be represented by a family F of nonempty sets if there is a bijection f:V--\*F such that uv ~E if and only iff(u)Nf(v)q=~. It is proved that if G is a countable graph then G can be represented by open intervals on the real line if and only if G can be represented by clo