B. Bresar, J. Chalopin, V. Chepoi, T. Gologranc, D. Osajda, Bucolic complexes,
(submitted).
V. Chepoi, M. Hagen, On embeddings of CAT(0) cube complexes into products of trees,
(submitted).
V. Chepoi, Nice labeling problem for
event structures: a counterexample, (submitted).
N. Catusse, V. Chepoi, K. Nouioua, Y. Vaxes, Bidirected
minimum Manhattan network problem, (submitted).
B. Bresar, J. Chalopin, V. Chepoi, M. Kovse, A. Labourel, Y. Vaxes, Retracts of
products of chordal graphs, (submitted).
V. Chepoi, S. Felsner, Approximating hitting sets of axis-parallel rectangles
with opposite corners separated by a monotone curve, (submitted).
V. Chepoi, D. Maftuleac, Shortest path problem in rectangular complexes of global
nonpositive curvature (submitted).
V. Chepoi, F. Dragan, I. Newman, Y. Rabinovich, Y. Vaxes, Constant
approximation algorithms for embedding graph metrics into trees and
outerplanar graphs,
Discrete & Computational Geometry 47 (2012), 187-214,
short version: APPROX-RANDOM 2010.
H.-J. Bandelt, V. Chepoi, D. Eppstein, Ramified
rectilinear polygons: coordinatization by dendrons (submitted).
N. Catusse, V. Chepoi, K. Nouioua, Y. Vaxes, Minimum Manhattan network
problem in normed planes with polygonal balls: a factor 2.5
approximation algorithm,
Algorithmica 62 (2012), 551-567.
N. Catusse, V. Chepoi, Y. Vaxes,
Planar hop Spanners for unit disk graphs
ALGOSENSORS 2010, 16-30.
J. Chalopin, V. Chepoi, N. Nisse, Y. Vaxes Cop
and robber games when the robber can hide and ride SIAM J. Discrete Math.
25(2011) 333-359.
V. Chepoi, D. Osajda, Dismantlability
of weakly systolic complexes and applications (submitted).
N. Catusse, V. Chepoi, Y. Vaxes,
Embedding into the rectilinear plane in optimal O(n^2) time
Theor. Comput. Sci. 412 (2011) 2425-2433.
H.-J. Bandelt, V. Chepoi, D. Eppstein, Combinatorics
and geometry of finite and infinite squaregraphs SIAM J. Discrete Mathematics 24 (2010) 1399-1440.
V. Chepoi, F. Dragan, B. Estellon, M. Habib, Y. Vaxes,
Diameters, centers, and approximating trees of delta-hyperbolic geodesic
spaces and graphs,
Symposium on Computational Geometry,
SoCG'2008, pp.59-68.
V. Chepoi, M. Seston,
Seriation in the presence of errors: an approximation algorithm for
fitting Robinson structures to dissimilarity
matrices,
Algorithmica 59 (2011) 521-568, short version:
STACS'2009.
V. Chepoi, F. Dragan, B. Estellon, M. Habib, Y. Vaxès, Y. Xiang,
Additive spanners and distance and routing labeling schemes for
delta-hyperbolic graphs,
Algorithmica 62 (2012) 713-732.
V. Chepoi, N. Creignou, M. Hermann, and G. Salzer, Helly
property and satisfiability of Boolean formulas defined on set systems,
European J. Combinatorics, 31 (2010), 502-516, short version:
ISMVL'2008, pp. 100-105.
V. Chepoi, K. Nouioua, E. Thiel and Y. Vaxès,
Pareto envelopes in simple polygons, International Journal of Computational Geometry and Applications,
20 (2010), 707-721
short version: European Workshop on Computational Geometry,
EWCG'2008.
V. Chepoi, B. Estellon,
Packing and covering delta-hyperbolic spaces by balls,
APPROX-RANDOM'07, August 20-22, 2007, Princeton, USA.
V. Chepoi, T. Févat, E. Godard, and Y. Vaxès, A self-stabilizing
algorithm for the median problem in partial rectangular grids and their
relatives,
Algorithmica 62 (2012) 146-168, short version:
SIROCCO'07, 2007, pp. 81-95.
V. Chepoi, K. Nouioua,
Pareto
envelopes in R^3 under l_1 and
l_infty distance functions,
(slides) Symposium on Computational Geometry SoCG'2007,
pp. 284-293.
V. Chepoi, B. Fichet, M. Seston,
Seriation in the presence of errors:
NP-hardness of l_infty-fitting Robinson structures to dissimilarity
matrices. J. Classification 26 (2009), 279-296.
V. Chepoi, B. Estellon, Y. Vaxes,
On
covering planar graphs with a
fixed number of balls, Discrete and Computational Geometry
37 (2007), 237-244.
V. Chepoi, B. Estellon, K.
Nouioua, Y. Vaxes, Mixed
covering
of trees and the augmentation problem with odd diameter
constraints Algorithmica 45 (2006), 209-226.
V. Chepoi, B. Estellon, Y.Vaxes,
Approximation algorithms for
forests augmentation ensuring two disjoint paths of bounded length,
Theoretical Computer Science 401 (2008), 131-143.
short version WADS'2005, pp. 282-293.
V. Chepoi, K. Nouioua,
Y.Vaxes, A
rounding algorithm for
approximating minimum Manhattan networks,
Theoretical Computer
Science, 390 (2008), 56-69 and short
version APPROX-RANDOM'2005,
pp. 40-51.
H.-J.
Bandelt, V. Chepoi, Metric
graph theory
and geometry: a survey, Surveys on Discrete and Computational
Geometry: Twenty Years Later,
J.E. Goodman, J. Pach, and R. Pollack
(eds),
Contemp. Math., 453 (2008), pp. 49-86.
V. Chepoi, F. Dragan, Y.Vaxes, Distance
and routing problems in plane graphs
of non-positive curvature, J. Algorithms 61 (2006)
1-30.
H.-J. Bandelt, V. Chepoi, The algebra
of metric betweenness I:
subdirect representation and retracts Europ. J. Combin. 28 (2007),
1640-1661.
H.-J. Bandelt, V. Chepoi, The algebra
of metric betweenness II: axiomatics of weakly median graphs.
Europ. J. Combin. 29, (2008), 676-700.
V.
Chepoi, Basis
graphs of even
Delta-matroids. J. Combin. Th. Ser B 97 (2007), 175-192.
H.-J. Bandelt, V.
Chepoi, A. Dress, J. Koolen,
Combinatorics of lopsided sets, Europ. J.
Combin. 27(2006), 669-689.
V. Chepoi, F. Dragan, Y.Vaxes, Distance-based
location update and routing in
irregular cellular networks, SAWN'05, pp. 380-387.
V.
Chepoi, F. Dragan, Y. Vaxès. Addressing,
distances and routing in
triangular systems with applications in cellular and sensor
networks,
Wireless Networks 12 (2006) 671-679, also WMAN'04.
V. Chepoi, C.Fanciullini,
Y.Vaxes, Median
problem in some plane
triangulations and quadrangulations, Comput. Geometry
27(2004) 193-210.
V. Chepoi, H.
Noltemeier, Y. Vaxes, Upgrading
trees under
diameter and budget constraints, Networks 41(2003) 24-35.
V. Chepoi, F.
F. Dragan, Chenyu Yan, Additive
sparse
spanners for graphs with bounded length of largest induced cycle.
Theor. Comput. Sci. 347(2005), 54-75, also
CIAC'03 pp. 96-107.
V.
Chepoi, Y. Vaxes, On
covering planar bridged
triangulations with balls, J. Graph Th. 44(2003),
65-80.
H.-J.
Bandelt, V. Chepoi, 1-Hyperbolic
graphs,
SIAM J. Discr. Math. 16(2003) 323-334.
V.
Chepoi, F.Dragan, Y.Vaxes, Center and
diameter problem in planar quadrangulations and triangulations,
SODA'02, pp. 346-355.
V.
Chepoi, A. Rollin, Interval
routing in some
planar networks, Theor. Comput. Sci. 290(2003)
1503-1540, also SIROCCO'01, pp. 89-104.
V.
Chepoi, Y. Vaxes, Augmenting
trees to meet
connectivity and diameter constraints, Algorithmica 33
(2002), 243-262.
H.-J.
Bandelt, V. Chepoi, Graphs with
connected
medians, SIAM J. Discr. Math. 16(2002),
268-282.
V.
Chepoi, F. Dragan, Finding a
central vertex
in HHD-free graphs, Discr. Appl. Math. 131
(2003), 93-111.
H.-J. Bandelt, V. Chepoi, A. Dress, J. Koolen, Geometry of
lopsided sets (in preparation).
V.
Chepoi, Graphs
of some CAT(0) complexes,
Adv. Appl. Math. 24(2000), 125-179.
H.-J.
Bandelt, V. Chepoi, A. Karzanov, A
characterization of minimizable metrics in the multifacility
location problem, Europ. J. Combin. 21 (2000),
715-725.
V.
Chepoi, F. Dragan, A note on
distance
approximating trees, Europ. J. Combin. 21
(2000), 761-766.
H.-J.
Bandelt and V. Chepoi, Decomposition
and
l_1-embedding of weakly median graphs, Europ. J.
Combin. 21 (2000), 701-714.
V.
Chepoi and B. Fichet, l_infty-Approximation
via
subdominants, J. Math. Psychology 44(2000),
600-616.
A. Brandstaedt, V. Chepoi, and F. Dragan, Distance
approximating trees for chordal and
dually chordal graphs, J. Algorithms, 30 (1999),
166-184, also ESA'97, pp. 78-91.
V.
Chepoi, On
distance-preserving and domination
orderings, SIAM J. Discr. Math., 11 (1998),
414-436.
H.-J.
Bandelt, V. Chepoi, Embedding into
the
rectilinear grid, Networks 32(1998), 127-132.
H.-J.
Bandelt, V. Chepoi, M. Laurent, Embedding
into rectilinear spaces,
Discr. Comput. Geometry 19(1998), 595-604.
V. Chepoi, A note on
r-dominating clique problem,
Discr. Math. 183 (1998), 47-60.
A. Brandstädt, Dragan F.F., Chepoi V.D., Voloshin V.I, Dually
chordal graphs, SIAM J. Discr.
Math. 11 (1998),
437-455, also WG'93 pp. 237-251.
A. Brandstaedt, V. Chepoi, F. Dragan, The
algorithmic use of the hypertree structure and maximum neighbourhood
orderings, Discr. Appl. Math. 83
(1998), 121-155, also WG'94 pp. 70-80.
V.
Chepoi, B. Fichet, A note on
circular
decomposable metrics, Geom. Dedicata 69 (1998),
237-240.
A.
Brandstaedt, V. Chepoi, F. Dragan, Clique
r-domination and clique r-packing problems on dually chordal
graphs, SIAM J. Discr. Math. 10(1997),
109-127.
V.
Chepoi, A T_X
approach to some results on cuts
and metrics, Adv. Appl. Math. 19(1997),
453-470.
V.
Chepoi, Bridged
graphs are cop-win graphs:
an algorithmic proof, J. Combin. Th., Ser B 69
(1997), 97-100.
V.
Chepoi, Peakless
functions on graphs,
Discr. Appl. Math. 73(1997), 175-189.
V.
Chepoi, B. Fichet, Recognition of
Robinsonian dissimilarities, J. Classif. 14(1997),
311-325.
V.
Chepoi, M. Deza, V. Grishukhin, Clin d'oeil on
L_1-embeddable planar graphs, Discr. Appl.
Math. 80(1997), 3-19.
V. Chepoi, S. Klavzar,
Distances in benzenoid systems: Further developments,
Discr. Math. 192 (1998) 27-39.
V.
Chepoi, A
multifacility location
problem on median spaces, Discr. Appl. Math.
64(1996), 1-29.
V.
Chepoi, On
staircase starshapedness in
rectilinear spaces, Geom. Dedicata 63(1996),
321-329.
V.
Chepoi, S. Klavzar The Wiener
Index and the Szeged Index of Benzenoid Systems in Linear Time J.
Chem. Inf. and Comp. Sci. 37(4) (1997), 752-755.
V.
Chepoi, V. Patlatii, C. Prisacaru
L_1-embeddability of rectilinear polygons with holes J. Geometry 56
(1996), 18-24.
V.
Chepoi, O.Topala Tverberg
numbers for cellular bipartite graphs, Archiv der Mathematik 66
(1996), 258-264.
V.
Chepoi, On
distances in benzenoid systems,
J. Chem. Inf. and Comp. Sci. 36(6) (1996), 1169-1172.
H.-J.
Bandelt, V. Chepoi, Embedding
metric spaces in
the rectilinear plane: a six--point criterion, Discr.
Comput. Geometry 15(1996), 107-117.
H.-J.
Bandelt, V. Chepoi, Graphs of
acyclic cubical
complexes, Europ. J. Combin. 17(1996), 113-120.
H.-J.
Bandelt, V. Chepoi, Cellular
bipartite
graphs, Europ. J. Combin. 17(1996), 121-134.
H.-J.
Bandelt, V. Chepoi, A Helly
theorem in weakly
modular spaces, Discr. Math. 125(1996) 25-39.
A.
Brandstaedt, V. Chepoi, F. Dragan, Perfect
elimination orderings of chordal powers of graphs, Discr.
Math. 124 (1996), 273-278.
V.
Chepoi, F. Dragan, Condorcet
and median
points of simple rectilinear polygons, Location Science
4(1996) 21-35, also MFCT'95, pp. 181-190.
V. Chepoi, On
starshapedness in products of interval spaces,
Archiv der Mathematik 64 (1995), 264-268.
V.
Chepoi, Separation
of two convex sets in
convexity structures, J. Geometry 50 (1994), 30-51.
V. Chepoi, F. Dragan, Computing the median point of a simple
rectilinear polygon, Inf. Proc. Lett. 49
(1994), 281-285.
V. Chepoi, F. Dragan, A linear
algorithm for computing a
central vertex of a chordal graph, ESA'94,
159-170.
V. Chepoi, On a property of a space of orderings,
Automation and Remote Control 8 (1993), 131-136 (Russian,
English transl.).
V. Chepoi,
Centers of triangulated graphs, Math.
Notes 43 (1988), 143-151.
V. Chepoi, Isometric
subgraphs of Hamming graphs and
d-convexity, Cybernetics 1(1988), 6-10.
V. Soltan, V. Chepoi,
Conditions for invariance of set
diameter under d-convexification in a graph, Cybernetics
6(1983), 14-18.
V. Chepoi,
Classification
of graphs by metric triangles, Metody Diskretnogo Analyza 49
(1989), 75-93 (Russian).
V. Chepoi, F. Dragan, A linear time algorithm for computing
the link central point of a simple rectilinear polygon (unpublished
manuscript) (1993).