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Naddef, D. J.; Pulleyblank, W. R.

Hamiltonicity in (0-1)-polyhedra. (English) Zbl 0544.05058

J. Comb. Theory, Ser. B 37, 41-52 (1984).
See the preview in Zbl 0535.05054.

Cited in 2 Reviews
Cited in 27 Documents

MSC:

05C99 Graph theory
05C45 Eulerian and Hamiltonian graphs
52Bxx Polytopes and polyhedra

Keywords:

combinatorial polyhedra; 1-skeleton; hypercube; hamilton connected

Citations:

Zbl 0535.05054
Cite Review PDF
Full Text: DOI

References:

[1] Balinski, M., On the graph structure of convex polyhedra in \(n\)-space, Pacific J. Math., 11, 431-434 (1961) · Zbl 0103.39602
[2] Berge, C., (Graphes et Hypergraphes (1973), Dunod: Dunod Paris) · Zbl 0332.05101
[3] Brualdi, R. A.; Gibson, P. M., Convex polyhedra of doubly stochastic matrices. II. Graph of \(Ωn\), J. Combin. Theory Ser. B, 22, 175-198 (1977) · Zbl 0351.05130
[4] Grünbaum, B., (Convex Polytopes (1967), Wiley: Wiley London) · Zbl 0163.16603
[5] Hausmann, D., (Adjacency on Polytopes in Combinatorial Optimization (1980), Anton Hain: Anton Hain Meisenheim) · Zbl 0439.90050
[6] Naddef, D., Pancyclic property of the graph of some (0-1)-polyhedra, J. Combin. Theory Ser. B, 37, 10-26 (1984) · Zbl 0527.05044
[7] Naddef, D.; Pulleyblank, W. R., Hamiltonicity and combinatorial polyhedra, J. Combin. Theory Ser. B, 31, 297-312 (1981) · Zbl 0449.05042
[8] Welsh, D. J.A, (Matroid Theory (1976), Academic Press: Academic Press London/New York) · Zbl 0343.05002
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