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1.
Isomorphism checking of I-graphs
Boris Horvat, Tomaž Pisanski, Arjana Žitnik, 2012, original scientific article

Abstract: We consider the class of ▫$I$▫-graphs, which is a generalization of the class of the generalized Petersen graphs. We show that two ▫$I$▫-graphs ▫$I(n, j, k)$▫ and ▫$I(n, j_1, k_1)$▫ are isomorphic if and only if there exists an integer ▫$a$▫ relatively prime to $n$ such that either ▫$\{j_1, k_1\} = \{aj \mod n, \; ak \mod n \}$▫ or ▫$\{j_1, k_1\} = \{aj \mod n, \; -ak \mod n\}$▫. This result has an application in the enumeration of non-isomorphic ▫$I$▫-graphs and unit-distance representations of generalized Petersen graphs.
Found in: osebi
Keywords: mathematics, graph theory, isomorphism, I-graph, generalized Petersen graph
Published: 15.10.2013; Views: 1500; Downloads: 65
URL Full text (0,00 KB)

2.
Uporaba simetrijskih grafov pri konveksnih poliedrih
Jurij Kovič, 2013, doctoral dissertation

Abstract: Grafe praporov in simetrijske grafe, ki so jih odkrili okrog leta 1980, so doslej uporabljali predvsem za klasifikacijo zemljevidov - to je grafov, celično vloženih v kompaktne ploskve. Namen te disertacije je prikazati nekaj razširitev njihove uporabe. V prvem delu disertacije uporabimo simetrijske grafe pri klasifikaciji poliedrov z regularnimi poligonskimi ali zvezdastimi lici. Podamo tudi karakterizacijo teh poliedrov z minimalnim številom parametrov. V drugem delu disertacije na podoben način klasificiramo molekule,sestavljene iz pravilnih šestkotniških gradnikov, pri čemer upoštevamo tudi njihove točkovne grupe. V tretjem delu disertacije pojem simetrijskih grafov razširimo na hiperzemljevide in geometrijske konfiguracije, nazadnje pa tudi na sferne poliedre in sferne molekule.
Found in: osebi
Keywords: polieder, graf praporov, simetrijski graf, simetrijska grupa
Published: 15.10.2013; Views: 1134; Downloads: 23
URL Full text (0,00 KB)

3.
Editorial
Štefko Miklavič, Primož Šparl, Klavdija Kutnar, Tomaž Pisanski, 2015, preface, afterword

Found in: osebi
Published: 15.10.2015; Views: 723; Downloads: 9
URL Full text (0,00 KB)

4.
Generalized cages
Robert Jajcay, Marko Boben, Tomaž Pisanski, 2015, original scientific article

Found in: osebi
Keywords: cage, graph, isomorphism
Published: 03.04.2017; Views: 561; Downloads: 22
URL Full text (0,00 KB)

5.
Which Haar graphs are Cayley graphs?
István Estélyi, Tomaž Pisanski, 2016, original scientific article

Found in: osebi
Keywords: Haar graph, Cayley graph, dihedral group, generalized dihedral group
Published: 16.11.2017; Views: 913; Downloads: 24
URL Full text (0,00 KB)

6.
Operations on oriented maps
Tomaž Pisanski, Gordon Ian Williams, Leah Berman, 2017, original scientific article

Found in: osebi
Keywords: map, oriented map, truncation, medial, snub, flag graph, arc graph
Published: 16.03.2018; Views: 1126; Downloads: 88
URL Full text (0,00 KB)

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