Pregled bibliografske jedinice broj: 1030461
The hypermetric cone and polytope on graphs
The hypermetric cone and polytope on graphs // Chebyshevskii Sbornik, 20 (2019), 2; 161-168 doi:10.22405/2226-8383-2019-20-2 (međunarodna recenzija, članak, znanstveni)
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Naslov
The hypermetric cone and polytope on graphs
Autori
Dutour Sikirić, Mathieu
Izvornik
Chebyshevskii Sbornik (2226-8383) 20
(2019), 2;
161-168
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
hypermetric cone ; graph ; minor
Sažetak
The hypermetric cone was defined in DGL92 and was extensively studied by Michel Deza and his collaborators. Another key interest of him was cut and metric polytope which he considered in his last works in the case of graphs. Here we combine both interest by considering the hypermetric on graphs. We define them for any graph and give an algorithm for computing the extreme rays and facets of hypermetric cone on graphs. We compute the hypermetric cone for the first non-trivial case of K7-{; ; ; e}; ; ; . We also compute the hypermetric cone in the case of graphs with no K5 minor.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
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Časopis indeksira:
- Scopus
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