Výsledky vyhľadávania
Názov Regular maps with nilpotent automorphism groups Aut.údaje Aleksander Malnic, Roman Nedela, Martin Škoviera Autor Malnič Aleksander (34%)
Spoluautori Nedela Roman 1960- (33%) UMBFP12 - Inštitút matematiky a informatiky
Škoviera Martin (33%)
Zdroj.dok. European Journal of Combinatorics. Vol. 33, no. 8 (2012), pp. 1974-1986. - London : Academic Press, 2012 Kľúč.slová matematika - mathematics grafy - charts - graphs regulárne mapy regular maps Jazyk dok. angličtina Krajina Veľká Británia Systematika 51 Anotácia We study regular maps with nilpotent automorphism groups in detail. We prove that every nilpotent regular map decomposes into a direct product of maps H x K, where Aut (H) is a 2-group and K is a map with a single vertex and an odd number of semiedges. Many important properties of nilpotent maps follow from this canonical decomposition, including restrictions on the valency, covalency, and the number of edges. We also show that, apart from two well-defined classes of maps on at most two vertices and their duals, every nilpotent regular map has both its valency and covalency divisible by 4. Finally, we give a complete classification of nilpotent regular maps of nilpotency class 2. Kategória publikačnej činnosti ADE Číslo archívnej kópie 28518 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika 
článok
Názov Regular homomorphisms and regular maps Aut.údaje A. Malnic, R. Nedela, M. Skoviera Autor Malnič Aleksander (34%)
Spoluautori Nedela Roman 1960- (33%) UMBFP12 - Inštitút matematiky a informatiky
Škoviera Martin (33%)
Zdroj.dok. European Journal of Combinatorics. Vol. 23, no. 4 (2002), pp. 449-461. - London : Academic Press, 2002 Kľúč.slová matematika - mathematics homomorfizmy homomorphisms Jazyk dok. angličtina Krajina Veľká Británia Systematika 51 Anotácia Regular homomorphisms of oriented maps essentially arise from a factorization by a subgroup of automorphisms. This kind of map homomorphism is studied in detail, and generalized to the case when the induced homomorphism of the underlying graphs is not valency preserving. Reconstruction is treated by means of voltage assignments on angles, a natural extension of the common assignments on darts. Lifting and projecting groups of automorphisms along regular homomorphisms is studied in some detail. Finally, the split-extension structure of lifted groups is analysed. Kategória publikačnej činnosti ADE Číslo archívnej kópie 28524 Kategória ohlasu ZHOU, Jin Xin - FENG, Yan Quan. Regular maps of graphs of order 4p. In Acta mathematica sinica. ISSN 1439-8516, 2012, vol. 28, no. 5, pp. 989-1012.
ORBANIC, Alen - PETKOVSEK, Marko - PISANSKI, Tomaz - POTOCNIK, Primoz. A note on enumeration of one-vertex maps. In Ars mathematica contemporanea. ISSN 1855-3966, 2010, vol. 3, no. 1, pp. 1-12.
ORBANIC, Alen. F-actions and parallel-product decomposition of reflexible maps. In Journal of algebraic combinatorics. ISSN 0925-9899, 2007, vol. 26, no. 4, pp. 507-527.
DE MELLO KOCH, R. - RAMGOOLAM, S. - WEN, C. On the refined counting of graphs on surfaces. In Nuclear physics B. ISSN 0550-3213, 2013, vol. 870, no. 3, pp. 530-581.
Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika článok
Názov Lifting Graph Automorphisms by Voltage Assignments Aut.údaje Alexander Malnič, Roman Nedela, Martin Škoviera Autor Malnič Aleksander (34%)
Spoluautori Nedela Roman 1960- (33%) UMBFP10 - Katedra matematiky
Škoviera Martin (33%)
Zdroj.dok. European Journal of Combinatorics. Vol. 21, no. 7 (2000), pp. 927-947. - London : Academic Press, 2000 Kľúč.slová matematika - mathematics grafy - charts - graphs automorfizmy Jazyk dok. angličtina Systematika 517 Kategória publikačnej činnosti ADE Kategória ohlasu GHASEMI, Mohsen. Cubic symmetric graphs of order 10p(3). In Journal of the Korean Mathematical Society. ISSN 0304-9914, 2013, vol. 50, no. 2, pp. 241-257.
FRELIH, Bostjan - KUTNAR, Klavdija. Classification of cubic symmetric tetracirculants and pentacirculants. In European journal of combinatorics. ISSN 0195-6698, 2013, vol. 34, no. 2, pp. 169-194.
ZHOU, Jin-Xin. Tetravalent vertex-transitive graphs of order 4p. In Journal of graph theory. ISSN 0364-9024, 2012, vol. 71, no. 4, pp. 402-415.
KNOR, Martin - POTOCNIK, Primoz. Efficient domination in cubic vertex-transitive graphs. In European journal of combinatorics. ISSN 0195-6698, 2012, vol. 33, no. 8, pp. 1755-1764.
CARA, Philippe - DEVILLERS, Alice - GIUDICI, Michael - PRAEGER, Cheryl E. Quotients of incidence geometries. In Design codes and cryptography. ISSN 0925-1022, 2012, vol. 64, no. 1-2, pp. 105-128.
KOVACS, Istvan - KUTNAR, Klavdija - MARUSIC, Dragan - WILSON, Steve. Classification of Cubic Symmetric Tricirculants. In Electronic journal of combinatorics [online]. 2012, vol. 19, no. 2 [cit. 2014-03-04]. ISSN 1077-8926. Dostupné na: http://www.combinatorics.org/ojs/index.php/eljc/article/viewFile/v19i2p24/pdf.
KUZMAN, Bostjan. Invariant subspaces of matrix groups and elementary-abelian covers of K-4,K-4. In Filomat. ISSN 0354-5180, 2011, vol. 25, no. 4, pp. 37-53.
ORBANIC, Alen - PELLICER, Daniel - PISANSKI, Tomaz - TUCKER, Thomas W. Edge-transitive maps of low genus. In Ars mathematica contemporanea. ISSN 1855-3966, 2011, vol. 4, no. 2, pp. 385-402.
KUZMAN, Bostjan. Arc-transitive elementary abelian covers of the complete graph K-5. In Linear algebra and its applications. ISSN 0024-3795, 2010, vol. 433, no. 11-12, pp. 1909-1921.
ZHOU, Jin-Xin - FENG, Yan-Quan. Semisymmetric elementary abelian covers of the Heawood graph. In Discrete mathematics. ISSN 0012-365X, 2010, vol. 310, no. 24, pp. 3658-3662.
WANG, Changqun - HAO, Yanhua. Edge-transitive regular Z(n)-covers of the Heawood graph. In Discrete mathematics. ISSN 0012-365X, 2010, vol. 310, no. 12, pp. 1752-1758.
OH, Ju-Mok. Arc-transitive elementary abelian covers of the Pappus graph. In Discrete mathematics. ISSN 0012-365X, 2009, vol. 309, no. 23-24, pp. 6590-6611.
KUTNAR, Klavdija - BORSTNIK, Urban - MARUSIC, Dragan - JANEZIC, Dusanka. Interconnection networks for parallel molecular dynamics simulation based on hamiltonian cubic symmetric topology. In Journal of mathematical chemistry. ISSN 0259-9791, 2009, vol. 45, no. 2, pp. 372-385.
KUTNAR, Klavdija - MARUSIC, Dragan. A complete classification of cubic symmetric graphs of girth 6. In Journal of combinatorial theory series B. ISSN 0095-8956, 2009, vol. 99, no. 1, pp. 162-184.
KUTNAR, Klavdija - MARUSIC, Dragan. Recent trends and future directions in vertex-transitive graphs. In Ars mathematica contemporanea. ISSN 1855-3966, 2008, vol. 1, no. 2, pp. 112-125.
MARUSIC, Dragan - SPARL, Primoz. On quartic half-arc-transitive metacirculants. In Journal of algebraic combinatorics. ISSN 0925-9899, 2008, vol. 28, no. 3, pp. 365-395.
MIKLAVIC, Stefko - POTOCNIK, Primoz - WILSON, Steve. Arc-transitive cycle decompositions of tetravalent graphs. In Journal of combinatorial theory series B. ISSN 0095-8956, 2008, vol. 98, no. 6, pp. 1181-1192.
KWAK, Jin Ho - OH, Ju-Mok. Arc-transitive elementary abelian covers of the octahedron graph. In Linear algebra and its applications. ISSN 0024-3795, 2008, vol. 429, no. 8-9, pp. 2180-2198.
FENG, Yan-Quan - ZHOU, Jin-Xin. Semisymmetric graphs. In Discrete mathematics. ISSN 0012-365X, 2008, vol. 308, no. 17, pp. 4031-4035.
GIUDICI, Michael - LI, Cai Heng - POTOCNIK, Primoz - PRAEGER, Cheryl E. Homogeneous factorisations of graph products. In Discrete mathematics. ISSN 0012-365X, 2008, vol. 308, no. 16, pp. 3652-3667.
WANG, Chang Qun - CHEN, Tie Sheng. Semisymmetric cubic graphs as regular covers of K-3,K-3. In Acta mathematica sinica. ISSN 1439-8516, 2008, vol. 24, no. 3, pp. 405-416.
WILSON, Steve. Unexpected symmetries in unstable graphs. In Journal of combinatorial theory series B. ISSN 0095-8956, 2008, vol. 98, no. 2, pp. 359-383.
FENG, Yan-Quan - KWAK, Jin Ho - ZHOU, Chuixiang. Constructing even radius tightly attached half-arc-transitive graphs of valency four. In Journal of algebraic combinatorics. ISSN 0925-9899, 2007, vol. 26, no. 4, pp. 431-451.
POTOCNIK, Primoz - SAJNA, Mateja. Self-complementary two-graphs and almost self-complementary double covers. In European journal of combinatorics. ISSN 0195-6698, 2007, vol. 28, no. 6, pp. 1561-1574.
FENG, Yan-Quan - KWAK, Jin Ho. Cubic symmetric graphs of order a small number times a prime or a prime square. In Journal of combinatioral theory series B. ISSN 0095-8956, 2007, vol. 97, no. 4, pp. 627-646.
GRAMLICH, Ralf - HOFMANN, Georg W. - NEEB, Karl-Hermann. Semi-edges, reflections and coxeter groups. In Transactions of the American Mathematical Society. ISSN 0002-9947, 2007, vol. 359, no. 8, pp. 3647-3668.
WANG, C. Q. - XU, M. Y. Non-normal one-regular and 4-valent Cayley graphs of dihedral groups D-2n. In European journal of combinatorics. ISSN 0195-6698, 2006, vol. 27, no. 5, pp. 750-766.
FENG, Y. Q. - KWAK, J. H. Classifying cubic symmetric graphs of order 10p or 10p(2). In Science in China series A - Mathematics. ISSN 1006-9283, 2006, vol. 49, no. 3, pp. 300-319.
COHEN, A. - POSTMA, E. J. Covers of point-hyperplane graphs. In Journal of algebraic combinatorics. ISSN 0925-9899, 2005, vol. 22, no. 3, pp. 317-329.
FENG, Y. Q. - KWAK, J. H. - WANG, K. S. Classifying cubic symmetric graphs of order 8p or 8p2. In European journal of combinatorics. ISSN 0195-6698, 2005, vol. 26, no. 7, pp. 1033-1052.
POTOCNIK, P. Edge-colourings of cubic graphs admitting a solvable vertex-transitive group of automorphisms. In Journal of combinatorial theory series B. ISSN 0095-8956, 2004, vol. 91, no. 2, pp. 289-300.
FENG, Y. Q. - KWAK, J. H. s-regular cubic graphs as coverings of the complete bipartite graph K-3,K-3. In Journal of graph theory. ISSN 0364-9024, 2004, vol. 45, no. 2, pp. 101-112.
FENG, Y. Q. - KWAK, J. H. s-regular dihedral coverings of the complete graph of order 4. In Chinese annals of mathematics series B. ISSN 0252-9599, 2004, vol. 25, no. 1, pp. 57-64.
DU, S. F. - KWAK, J. H. - XU, M. Y. Linear criteria for lifting automorphisms of elementary abelian regular coverings. In Linear algebra and its applications. ISSN 0024-3795, 2003, vol. 373, no., pp. 101-119.
FENG, Y. Q. - WANG, K. S. s-regular cyclic coverings of the three-dimensional hypercube Q(3). In European journal of combinatorics. ISSN 0195-6698, 2003, vol. 24, no. 6, pp. 719-731.
MARUSIC, D. On 2-arc-transitivity of Cayley graphs. In Journal of combinatorial theory series B. ISSN 0095-8956, 2003, vol. 87, no. 1, pp. 162-196.
FENG, Y. Q. - KWAK, J. H. Constructing an infinite family of cubic 1-regular graphs. In European journal of combinatorics. ISSN 0195-6698, 2002, vol. 23, no. 5, pp. 559-565.
SIRAN, J. Coverings of graphs and maps, orthogonality, and eigenvectors. In Journal of algebraic combinatorics. ISSN 0925-9899, 2001, vol. 14, no. 1, pp. 57-72.
HUJDUROVIĆ, A. - KUTNAR, K. - MARUŠIČ, D. Half-arc-transitive group actions with a small number of alternets. In Journal of combinatorial theory : series A. ISSN 0097-3165, 2014, vol. 124, no. 1, pp. 114-129.
FENG, Y.-Q. - GHASEMI, M. - YANG, D.-W. Cubic symmetric graphs of order 8p3. In Discrete mathematics. ISSN 0012-365X, 2014, vol. 318, no. 1, pp. 62-70.
FENG, Y.-Q. - KWAK, J.H. One-regular cubic graphs of order a small number times a prime or a prime square. In Journal of the Australian Mathematical Society. ISSN 1446-7887, 2004, vol. 76, no. 3, pp. 345-356.
ŠIAGIOVÁ, J. Composition of regular coverings of graphs and voltage assignments. In Australasian journal of combinatorics. ISSN 1034-4942, 2003, vol. 28, pp. 131-136.
Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika 
nerozpoznaný
Názov Lifting Graph Automorphisms by Voltage Assignments Aut.údaje Aleksander Malnič, Roman Nedela, Martin Škoviera Preklad názvu podnázvu : Zdvihy automorfizmov grafov pomocou napäťových ohodnotení Autor Malnič Aleksander
Spoluautori Nedela Roman 1960- UMBFP12 - Inštitút matematiky a informatiky
Škoviera Martin
Zdroj.dok. University of Ljubljana : Institute of Mathematics, Physics and Mechanics. Preprint series, Vol. 36 (1998) 617, s. 1-28. - Ljubljana, 1998 Kľúč.slová grafy - charts - graphs grupy Jazyk dok. angličtina Systematika 519.1 Kategória publikačnej činnosti AFI Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ nerozpoznaný