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A note on Hamiltonian circuits

✍ Scribed by V. Chvátal; P. Erdös


Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
229 KB
Volume
2
Category
Article
ISSN
0012-365X

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📜 SIMILAR VOLUMES


Graphs with exactly one hamiltonian circ
✍ John Sheehan 📂 Article 📅 1977 🏛 John Wiley and Sons 🌐 English ⚖ 221 KB

## Abstract Let __h(n__) be the largest integer such that there exists a graph with __n__ vertices having exactly one Hamiltonian circuit and exactly __h(n__) edges. We prove that __h(n__) = [__n__^2^/4]+1 (__n__ ≧ 4) and discuss some related problems.

Notes on circuit spaces
✍ Hazel Perfect 📂 Article 📅 1976 🏛 Elsevier Science 🌐 English ⚖ 398 KB
Bounds on the number of Hamiltonian circ
✍ Robert James Douglas 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 224 KB

New upper anti lower ~,ounds arc found for the number of HamilI(,nian circuits in the graph of Ihe r -cube. (2) -1 i,, ,,' We show that h(n)~ [n(n -I)/212 .... '~'"""',"' = U~(e,) (3)