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13.
Isomorphism checking of ▫$I$▫-graphs
Horvat, Boris, 1976- ; Pisanski, Tomaž ; Žitnik, Arjana
Obravnavamo razred ▫$I$▫-grafov - posplošitev razreda t.i. posplošenih Petersenovih grafov. Pokažemo da sta ▫$I$▫-grafa ▫$I(n, j, k)$▫ in ▫$I(n, j_1, k_1)$▫ izomorfna natanko takrat, ko obstaja celo ...število ▫$a$▫ tuje z ▫$n$▫, za katerega velja, da drži bodisi ▫$\{j_1, k_1\} = \{aj \mod n, \; ak \mod n \}$▫ bodisi ▫$\{j_1, k_1\} = \{aj \mod n, \; -ak \mod n\}$▫. Ta rezultat je uporaben pri preštevanju neizomorfnih ▫$I$▫-grafov in predstavitev z enotsko razdaljo posplošenih Petersenovih grafov.
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