94 papers

3868203
Vince, Andrew(1-FL)
Department of Mathematics, University of Florida
Gainesville, Florida, 32611
Global fractal transformations and global addressing. (English summary)
J. Fractal Geom. 5 (2018), no. 4, 387-418.
28A80 (05B45 52C22)
3843276
Vince, Andrew(1-FL)
Department of Mathematics, University of Florida
Gainesville, Florida, 32611
Aparallel digraphs and splicing machines. (English summary)
Discrete Math. 341 (2018), no. 10, 2883-2893.
05C20 (68Q45 68R15)
3733299
Barnsley, Michael(5-ANU-MI)
Mathematical Sciences Institute, Australian National University
Acton, Canberra, ACT 0200, Australia ; Vince, Andrew(1-FL)
Department of Mathematics, University of Florida
Gainesville, Florida, 32611
Self-similar polygonal tiling. (English summary)
Amer. Math. Monthly 124 (2017), no. 10, 905-921.
52C20 (05B45)
3607827
Vince, Andrew(1-FL)
Department of Mathematics, University of Florida
Gainesville, Florida, 32611
Counting connected sets and connected partitions of a graph. (English summary)
Australas. J. Combin. 67 (2017), 281-293.
05C30 (05C40 05C70)
3551732
Bandt, Christoph(D-EMAU-NDM); Barnsley, Michael(5-ANU-NDM); Hegland, Markus(5-ANU-NDM); Vince, Andrew(1-FL-NDM)
Old wine in fractal bottles I: Orthogonal expansions on self-referential spaces via fractal transformations. (English summary)
Chaos Solitons Fractals 91 (2016), 478-489.
28A80 (43A30)
3528295
Barnsley, M. F.(5-ANU-NDM); Harding, B.(5-ANU-NDM); Vince, A.(1-FL); Viswanathan, P.(5-ANU-NDM)
Approximation of rough functions. (English summary)
J. Approx. Theory 209 (2016), 23-43.
42A38 (26A15 26A18 26A27 28A80 39B12 41A05)
3461537
Sitharam, Meera(1-FL-CIE); Vince, Andrew(1-FL); Wang, Menghan(1-FL-CIE); BÃ³na, MiklÃ³s(1-FL)
Symmetry in sphere-based assembly configuration spaces. (English summary)
Symmetry 8 (2016), no. 1, Art. 5, 26 pp.
82D25 (20B99 55R80)
3412269
Barnsley, Michael F.(5-ANU-MI); Vince, Andrew(1-FL)
Fast basins and branched fractal manifolds of attractors of iterated function systems. (English summary)
SIGMA Symmetry Integrability Geom. Methods Appl. 11 (2015), Paper 084, 21 pp.
37B50 (05B45 28A80)
3286523
Barnsley, Michael(5-ANU-NDM); Steiner, Wolfgang(F-PARIS7-FA); Vince, Andrew(1-FL)
Critical itineraries of maps with constant slope and one discontinuity. (English summary)
Math. Proc. Cambridge Philos. Soc. 157 (2014), no. 3, 547-565.
37B10 (26A18 37B15)
3233701
Barnsley, Michael(5-ANU-NDM); Harding, Brendan(5-ANU-NDM); Vince, Andrew(1-FL)
The entropy of a special overlapping dynamical system. (English summary)
Ergodic Theory Dynam. Systems 34 (2014), no. 2, 483-500.
37E05 (28D20 37D45 80A10)
3215610
Vince, A.(1-FL)
A combinatorial approach to binary positional number systems. (English summary)
Acta Math. Hungar. 143 (2014), no. 1, 138-158.
11K16 (05Bxx 26A03 37E05)
3201253
Barnsley, Michael(5-ANU-NDM); Vince, Andrew(1-FL)
Fractal tilings from iterated function systems. (English summary)
Discrete Comput. Geom. 51 (2014), no. 3, 729-752.
28A80 (05B45 52C22)
3181637
Samuel, Tony(D-BRMN); Snigireva, Nina(IRL-DBLN-SM); Vince, Andrew(1-FL)
Embedding the symbolic dynamics of Lorenz maps. (English summary)
Math. Proc. Cambridge Philos. Soc. 156 (2014), no. 3, 505-519.
37B10
3181637
Samuel, Tony(D-BRMN); Snigireva, Nina(IRL-DBLN-SM); Vince, Andrew(1-FL)
Embedding the symbolic dynamics of Lorenz maps. (English summary)
Math. Proc. Cambridge Philos. Soc. 156 (2014), no. 3, 505-519.
37B10
3109716
Barnsley, Michael F.(5-ANU); Vince, Andrew(1-FL)
The Conley attractors of an iterated function system. (English summary)
Bull. Aust. Math. Soc. 88 (2013), no. 2, 267–279.
37C70 (28A80)
3097049
Barnsley, Michael F.(5-ANU); Vince, Andrew(1-FL)
Fractal continuation. (English summary)
Constr. Approx. 38 (2013), no. 2, 311–337.
26E05 (26A30 28A80 41A05)
3084010
Barnsley, Michael(5-ANU-NDM); Vince, Andrew(1-FL)
Developments in fractal geometry. (English summary)
Bull. Math. Sci. 3 (2013), no. 2, 299–348.
28A80
2984065
Vince, Andrew(1-FL)
Möbius iterated function systems. (English summary)
Trans. Amer. Math. Soc. 365 (2013), no. 1, 491–509.
28A80
3007189
Vince, Andrew(1-FL); BÃ³na, MiklÃ³s(1-FL)
The number of ways to assemble a graph. (English summary)
Electron. J. Combin. 19 (2012), no. 4, Paper 54, 18 pp.
05C30 (05A15 05A16 92E10)
2965365
Barnsley, Michael F.(5-ANU); Vince, Andrew(1-FL)
Real projective iterated function systems. (English summary)
J. Geom. Anal. 22 (2012), no. 4, 1137–1172.
37Bxx
2831601
Barnsley, Michael(5-ANU-MI); Vince, Andrew(1-FL)
The eigenvalue problem for linear and affine iterated function systems. (English summary)
Linear Algebra Appl. 435 (2011), no. 12, 3124–3138.
28A80 (15A18)
2818686
Barnsley, Michael F.(5-ANU); Vince, Andrew(1-FL)
The chaos game on a general iterated function system. (English summary)
Ergodic Theory Dynam. Systems 31 (2011), no. 4, 1073–1079.
28A80 (37Axx 37Bxx)
2785142
Bóna, Miklós(1-FL); Sitharam, Meera(1-FL-CIE); Vince, Andrew(1-FL)
Enumeration of viral capsid assembly pathways: three orbits under permutation group action. (English summary)
Bull. Math. Biol. 73 (2011), no. 4, 726–753.
92E10 (05Cxx 20Bxx)
2609349
Atkins, Ross; Barnsley, Michael F.(5-ANU); Vince, Andrew(1-FL); Wilson, David C.(1-FL)
A characterization of hyperbolic affine iterated function systems. (English summary)
Topology Proc. 36 (2010), 189--211.
54Hxx (28A80)
2595700
Vince, Andrew(1-FL); Wang, Hua(1-GSO)
The average order of a subtree of a tree. (English summary)
J. Combin. Theory Ser. B 100 (2010), no. 2, 161--170.
05C05
2457031
Vince, Andrew(1-FL)
A simplex contained in a sphere. (English summary)
J. Geom. 89 (2008), no. 1-2, 169--178.
51Mxx (52Bxx)
2367347
Vince, Andrew(1-FL); Wang, Hua(1-FL)
Infinitely many trees have non-Sperner subtree poset. (English summary)
Order 24 (2007), no. 2, 133--138.
06A07 (05C05)
2362920
Vince, Andrew(1-FL); Zheng, Xiqiang(1-FL)
Computing the discrete Fourier transform on a hexagonal lattice. (English summary)
J. Math. Imaging Vision 28 (2007), no. 2, 125--133.
68U10 (94A12)
2353995
Vince, A.(1-FL)
Discrete lines and wandering paths. (English summary)
SIAM J. Discrete Math. 21 (2007), no. 3, 647--661 (electronic).
68U05 (52C07 68R05)
2274311
Little, C.(NZ-MASS-FS); Vince, A.(1-FL)
Parity versions of 2-connectedness. (English summary)
Electron. J. Combin. 13 (2006), no. 1, Research Paper 96, 14 pp. (electronic).
05C40
2104054
Kazanci, Deniz(1-FL); Vince, Andrew(1-FL)
A property of normal tilings.
Amer. Math. Monthly 111 (2004), no. 9, 813--816.
52C20 (05B25)
2064118
Vince, A.(1-FL)
The integrity of a cubic graph. (English. English summary)
Discrete Appl. Math. 140 (2004), no. 1-3, 223--239.
05C40
1957961
Vince, A.(1-FL)
Graph recurrence. (English. English summary)
European J. Combin. 24 (2003), no. 1, 15--32.
05C60
1939064
Atici, M.(TR-EGE-ICI); Vince, Andrew(1-FL)
Geodesics in graphs, an extremal set problem, and perfect hash families. (English. English summary)
Graphs Combin. 18 (2002), no. 3, 403--413.
05C12 (05D05)
1919166
Vince, Andrew(1-FL)
Separation index of a graph. (English. English summary)
J. Graph Theory 41 (2002), no. 1, 53--61.
05C10 (57M15)
1907559
Vince, A.(1-FL)
A framework for the greedy algorithm. (English. English summary)
Discrete Appl. Math. 121 (2002), no. 1-3, 247--260.
90C27 (05B35 90C59)
1836906
Vince, Andrew(1-FL); White, Neil(1-FL)
Orthogonal matroids. (English. English summary)
J. Algebraic Combin. 13 (2001), no. 3, 295--315.
05B35 (05E15 20F55)
1798999
Vince, Andrew(1-FL)
Digit tiling of Euclidean space. (English. English summary)
Directions in mathematical quasicrystals, 329--370,
CRM Monogr. Ser., 13,
Amer. Math. Soc., Providence, RI, 2000.
52C20 (28A80 37B10 37B50 52C23)
1766102
Duvall, P.(1-NCG); Keesling, J.(1-FL); Vince, A.(1-FL)
The Hausdorff dimension of the boundary of a self-similar tile. (English. English summary)
J. London Math. Soc. (2) 61 (2000), no. 3, 748--760.
52C22 (05B45)
1761912
Vince, A.(1-FL)
The greedy algorithm and Coxeter matroids. (English. English summary)
J. Algebraic Combin. 11 (2000), no. 2, 155--178.
05B35 (05E15 20F55)
1723051
Hutchinson, Joan P.(1-MACA-CS); Shermer, Thomas(3-SFR-C); Vince, Andrew(1-FL)
On representations of some thickness-two graphs. (English. English summary)
Comput. Geom. 13 (1999), no. 3, 161--171.
68R10 (05C62 68U05)
1695077
Borovik, Alexandre(4-UMIST); Vince, Andrew(1-FL)
An adjacency criterion for Coxeter matroids. (English. English summary)
J. Algebraic Combin. 9 (1999), no. 3, 271--280.
05B35
1681893
Keating, K.(1-FL); Vince, A.(1-FL)
Isohedral polyomino tiling of the plane. (English. English summary)
Discrete Comput. Geom. 21 (1999), no. 4, 615--630.
05B50 (52C20)
1672925
Vince, A.(1-FL)
Self-replicating tiles and their boundary. (English. English summary)
Discrete Comput. Geom. 21 (1999), no. 3, 463--476.
28A80 (52C20)
1603707
Pulapaka, H.(1-FL); Vince, A.(1-FL)
Non-revisiting paths on surfaces with low genus. (English. English summary)
Graph theory (Lake Bled, 1995).
Discrete Math. 182 (1998), no. 1-3, 267--277.
05C10 (57M15)
1487781
Bondy, J. A.(F-LYON-DM); Vince, A.(1-FL)
Cycles in a graph whose lengths differ by one or two. (English. English summary)
J. Graph Theory 27 (1998), no. 1, 11--15.
05C38
1629689
Serganova, V. V.(1-CA); Vince, A.(1-FL); Zelevinsky, A.(1-NORE)
A geometric characterization of Coxeter matroids. (English. English summary)
Ann. Comb. 1 (1997), no. 2, 173--181.
05B35 (20F55)
1475146
Ssembatya, Vincent(1-FL); Vince, Andrew(1-FL)
Mathematics in Uganda.
Math. Intelligencer 19 (1997), no. 3, 27--32.
01A80
1474798
Borovik, Alexandre V.(4-UMIST); Gelfand, Israel M.(1-RTG); Vince, Andrew(1-FL); White, Neil(1-FL)
The lattice of flats and its underlying flag matroid polytope. (English. English summary)
Ann. Comb. 1 (1997), no. 1, 17--26.
05B35 (52B40)
1448357
Cao, Dasong(1-GAIT-ACO); Chvátal, V.(1-RTG-C); Hoffman, A. J.(1-IBM); Vince, A.(1-FL)
Variations on a theorem of Ryser. (English. English summary)
Linear Algebra Appl. 260 (1997), 215--222.
15A36 (05B05)
1426415
Vince, A.(1-FL)
Periodicity, quasiperiodicity, and Bieberbach's theorem on crystallographic groups.
Amer. Math. Monthly 104 (1997), no. 1, 27--35.
20H15 (52C22)
1400682
Hutchinson, Joan P.(1-MACA); Shermer, Thomas(3-SFR-C); Vince, Andrew(1-FL)
On representations of some thickness-two graphs (extended abstract). (English. English summary)
Graph drawing (Passau, 1995), 324--332,
Lecture Notes in Comput. Sci., 1027,
Springer, Berlin, 1996.
05C10 (68R10)
1381529
Vince, Andrew(1-FL); Yang, Yongzhi(1-FL)
Reconstruction of the set of branches of a graph. (English. English summary)
Graphs Combin. 12 (1996), no. 1, 69--80.
05C60
1380399
Pulapaka, H.(1-FL); Vince, A.(1-FL)
Nonrevisiting paths on surfaces. (English. English summary)
Discrete Comput. Geom. 15 (1996), no. 3, 353--357.
52B70 (05C10)
1336867
Vince, Andrew(1-FL)
Rep-tiling Euclidean space. (English. English summary)
Aequationes Math. 50 (1995), no. 1-2, 191--213.
52C07 (52C22)
1328501
Vince, Andrew(1-FL)
Map duality and generalizations. (English. English summary)
Ars Combin. 39 (1995), 211--229.
05C10 (57M15)
1283243
Kitto, Wei Z.(1-FL); Vince, Andrew(1-FL); Wilson, David C.(1-FL)
An isomorphism between the $p$-adic integers and a ring associated with a tiling of $N$-space by permutohedra. (English. English summary)
Discrete Appl. Math. 52 (1994), no. 1, 39--51.
52C07 (52C22 68U05)
1267356
Vince, Andrew(1-FL); Yang, Yongzhi(1-FL)
A new counting formula and its application to edge reconstruction.
Proceedings of the Twenty-fourth Southeastern International Conference on Combinatorics, Graph Theory, and Computing (Boca Raton, FL, 1993).
Congr. Numer. 98 (1993), 213--221.
05C60
1267355
Vince, Andrew(1-FL)
Radix representation and rep-tiling.
Proceedings of the Twenty-fourth Southeastern International Conference on Combinatorics, Graph Theory, and Computing (Boca Raton, FL, 1993).
Congr. Numer. 98 (1993), 199--212.
05B45 (11R04 28A80 52C20)
1229702
Vince, Andrew(1-FL)
Replicating tessellations. (English. English summary)
SIAM J. Discrete Math. 6 (1993), no. 3, 501--521.
52C22 (05B45 11A63 52C07)
1221708
Cao, Da Song(1-FL); Vince, Andrew(1-FL)
The spectral radius of a planar graph. (English. English summary)
Linear Algebra Appl. 187 (1993), 251--257.
05C50
1221001
Ruci\'nski, A.(PL-POZN-DM); Vince, A.(1-FL)
The solution to an extremal problem on balanced extensions of graphs. (English. English summary)
J. Graph Theory 17 (1993), no. 3, 417--431.
05C80 (05C35)
1215587
Vince, Andrew(1-FL)
The classification of closed surfaces using colored graphs. (English. English summary)
Graphs Combin. 9 (1993), no. 1, 75--84.
57M15 (05C10 57N05)
1142272
Vince, A.(1-FL); Wilson, Steve(1-NAZ)
Dyck's map $(3,7)\sb 8$ is a counterexample to a clique covering conjecture.
J. Combin. Theory Ser. B 54 (1992), no. 1, 157--160.
05C70
1129815
Vince, A.(1-FL)
Elementary divisors of graphs and matroids.
European J. Combin. 12 (1991), no. 5, 445--453.
05B35 (05C50)
1100070
Little, C. H. C.(NZ-MASS); Vince, A.(1-FL)
Embedding schemes and the Jordan curve theorem.
Topics in combinatorics and graph theory (Oberwolfach, 1990), 479--489,
Physica, Heidelberg, 1990.
05C10 (05C75)
1048445
Vince, A.(1-FL)
A rearrangement inequality and the permutahedron.
Amer. Math. Monthly 97 (1990), no. 4, 319--323.
26D15 (26A48)
1041867
Hobbs, Arthur M.(1-TXAM); Vince, Andrew(1-FL)
Minimum solutions of matroids under iterated closure and dual closure.
Proceedings of the Twentieth Southeastern Conference on Combinatorics, Graph Theory, and Computing (Boca Raton, FL, 1989).
Congr. Numer. 74 (1990), 124--132.
05B35 (90C35)
1041858
Vince, Andrew(1-FL)
Modular chromatic number.
Proceedings of the Twentieth Southeastern Conference on Combinatorics, Graph Theory, and Computing (Boca Raton, FL, 1989).
Congr. Numer. 74 (1990), 11--14.
05C15
1110853
Vince, Andrew(1-FL)
Recognizing the $3$-sphere.
Graph theory and its applications: East and West (Jinan, 1986), 571--583,
Ann. New York Acad. Sci., 576,
New York Acad. Sci., New York, 1989.
57M40 (05C10 05C15 57M15)
1026339
Vince, A.(1-FL)
Scheduling periodic events.
Discrete Appl. Math. 25 (1989), no. 3, 299--310.
90B35
1026063
Vince, Andrew(1-FL); Little, C. H. C.(NZ-MASS)
Discrete Jordan curve theorems.
J. Combin. Theory Ser. B 47 (1989), no. 3, 251--261.
05C75 (05C10 57M15)
1018643
Ruci\'nski, Andrzej(PL-POZN); Vince, Andrew(1-FL)
Balanced extensions of graphs.
Combinatorial Mathematics: Proceedings of the Third International Conference (New York, 1985), 347--351,
Ann. New York Acad. Sci., 555,
New York Acad. Sci., New York, 1989.
05C35
1006484
Vince, Andrew(1-FL)
Graphs and finitely presented groups.
Graphs and algorithms (Boulder, CO, 1987), 167--185,
Contemp. Math., 89,
Amer. Math. Soc., Providence, RI, 1989.
20F10 (05C25 57M40)
975558
Vince, Andrew(1-FL)
$n$-graphs.
Proceedings of the First Japan Conference on Graph Theory and Applications (Hakone, 1986).
Discrete Math. 72 (1988), no. 1-3, 367--380.
57M15 (05C10 57Q15)
968751
Vince, A.(1-FL)
Star chromatic number.
J. Graph Theory 12 (1988), no. 4, 551--559.
05C15
963119
Ruci\'nski, A.(PL-POZN); Vince, A.(1-FL)
Balanced extensions of graphs and hypergraphs.
Combinatorica 8 (1988), no. 3, 279--291.
05C65 (05C35)
890231
Ruci\'nski, Andrzej(PL-POZN); Vince, Andrew(1-FL)
Strongly balanced graphs and random graphs.
J. Graph Theory 10 (1986), no. 2, 251--264.
05C80 (60C05)
862044
Vince, Andrew(1-FL); Wilson, David C.(1-FL)
A convexity preserving Peano curve.
Houston J. Math. 12 (1986), no. 2, 295--304.
26B25
837069
Vince, A.(1-FL); Wachs, M.(1-MIAM)
A shellable poset that is not lexicographically shellable.
Combinatorica 5 (1985), no. 3, 257--260.
06A10 (05A99)
830741
Ruci\'nski, Andrzej; Vince, Andrew
Balanced graphs and the problem of subgraphs of random graphs.
Proceedings of the sixteenth Southeastern international conference on combinatorics, graph theory and computing (Boca Raton, Fla., 1985).
Congr. Numer. 49 (1985), 181--190.
05C80 (60C05)
793492
Vince, Andrew(1-FL)
A nonshellable $3$-sphere.
European J. Combin. 6 (1985), no. 1, 91--100.
57M40 (05C15 52A25)
777723
Vince, Andrew(1-FL)
Flag transitive maps.
Proceedings of the fifteenth Southeastern conference on combinatorics, graph theory and computing (Baton Rouge, La., 1984).
Congr. Numer. 45 (1984), 235--250.
05C10 (05C25)
776822
Vince, Andrew(1-FL)
Combinatorial classification of the regular polytopes.
Progress in graph theory (Waterloo, Ont., 1982), 487--496,
Academic Press, Toronto, ON, 1984.
52A25 (05C99)
735194
Vince, Andrew(1-FL)
Regular combinatorial maps.
J. Combin. Theory Ser. B 35 (1983), no. 3, 256--277.
05C25 (20F32 51M20)
734386
Vince, Andrew(1-FL)
Generalization of the cycle matroid of a graph.
Proceedings of the fourteenth Southeastern conference on combinatorics, graph theory and computing (Boca Raton, Fla., 1983).
Congr. Numer. 40 (1983), 399--407.
05C10 (05B35 05C70 57M15 57M40)
710579
Vince, Andrew
Graphic matroids, shellability and the Poincaré conjecture.
Geom. Dedicata 14 (1983), no. 3, 303--314.
57M15 (05B35 05C10 57M40)
701167
Vince, Andrew(1-FL)
Combinatorial maps.
J. Combin. Theory Ser. B 34 (1983), no. 1, 1--21.
05C10 (52A25)
710895
Vince, Andrew(1-FL)
An algebraic theory of graph factorization.
Discrete Math. 46 (1983), no. 2, 211--213.
05C70
666852
Harary, Frank; Vince, Andrew; Worley, Dale
A point-symmetric graph that is nowhere reversible.
SIAM J. Algebraic Discrete Methods 3 (1982), no. 3, 285--287.
05C25 (05C38)
640918
Vince, A.
Period of a linear recurrence.
Acta Arith. 39 (1981), no. 4, 303--311.
10-01 (01A30)
635704
Vince, Andrew
Locally homogeneous graphs from groups.
J. Graph Theory 5 (1981), no. 4, 417--422.
05C25 (20F32)
579427
Harary, Frank; Vince, Andrew
Graphical completions of a sequence.
SIAM J. Appl. Math. 38 (1980), no. 3, 402.
05C35
515834
Vince, Andrew
The Fibonacci sequence modulo $N$.
Fibonacci Quart. 16 (1978), no. 5, 403--407.
10A35

Last update made Fri Dec 14 14:02:06 EST 2018