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Cube intersection concepts in median graphs

✍ Scribed by Boštjan Brešar; Tadeja Kraner Šumenjak


Book ID
108114067
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
615 KB
Volume
309
Category
Article
ISSN
0012-365X

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📜 SIMILAR VOLUMES


n-cubes and median graphs
✍ Martyn Mulder 📂 Article 📅 1980 🏛 John Wiley and Sons 🌐 English ⚖ 156 KB

## Abstract The n‐cube is characterized as a connected regular graph in which for any three vertices __u, v__, and __w__ there is a unique vertex that lies simultaneously on a shortest (__u, v__)‐path, a shortest (__v, w__)‐path, and a shortest (__w, u__)‐path.

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## Abstract The cube polynomial __c__(__G__,__x__) of a graph __G__ is defined as $\sum\nolimits\_{i \ge 0} {\alpha \_i ( G)x^i }$, where α~i~(__G__) denotes the number of induced __i__‐cubes of __G__, in particular, α~0~(__G__) = |__V__(__G__)| and α~1~(__G__) = |__E__(__G__)|. Let __G__ be a medi

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