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Graph Minors and Graphs on Surfaces (2001) [6 citations — 2 self]

by Bojan Mohar
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Abstract:

Graph minors and the theory of graphs embedded in surfaces are

Citations

273 Graph minors. ii. algorithmic aspects of tree-width – Robertson, Seymour - 1987
215 Algorithms for drawing graphs: an annotated bibliography. Available via anonymous ftp from wilma.cs.brown.edu in /pub/papers/compgeo/gdbiblio.ps.Z – Battista, Eades, et al. - 1994
169 Graph minors XIII. The disjoint paths problem – Robertson, Seymour - 1995
121 Graph minors X: Obstructions to tree-decomposition – Robertson, Seymour - 1991
120 Linear time algorithms for np-hard problems restricted to partial k-trees. Discrete and Applied Mathematics – Arnborg, Proskourowski
95 A linear algorithm for embedding planar graphs using P Qtrees – Chiba, Nishizeki, et al. - 1985
83 Graph Minors I. Excluding a forest – Robertson, Seymour - 1983
59 Graphs minors --- a survey – Robertson, Seymour - 1985
48 Graph minors. XX. Wagner’s conjecture – Robertson, Seymour
41 Graph Minors VII. Disjoint paths on a surface – Robertson, Seymour - 1988
39 Tree width and tangles: A new connectivity measure and some applications – REED - 1997
37 A Kuratowski theorem for the projective plane – Archdeacon
36 Graph minors. IV. Tree-width and wellquasi -ordering – Robertson, Seymour - 1990
36 Graph minors. XVI. Excluding a non-planar graph – Robertson, Seymour - 1994
33 Graph Theory, Second Edition – Diestel - 2000
32 Excluding a planar graph – unknown authors - 1986
32 The graph genus problem is NP-complete – Thomassen - 1989
30 Graph minors – Robertson, Seymour
30 Graph minors. VIII. A Kuratowski theorem for general surfaces – Robertson, Seymour - 1990
30 Circular chromatic number, a survey, Discrete Math., to appear – Zhu
28 Tutte, A contribution to the theory of chromatic polynomials – T - 1954
27 Highly connected sets and the excluded grid theorem – Diestel, Jensen, et al. - 1999
27 Tarjan, E#cient planarity testing – Hopcroft, E - 1974
25 Depth-first search and Kuratowski subgraphs – Williamson - 1984
23 103 graphs that are irreducible for the projective plane – Glover, Huneke, et al.
23 A linear time algorithm for embedding graphs in an arbitrary surface – Mohar - 1999
20 Graph Minors IX. Disjoint Crossed Paths – Robertson, Seymour - 1990
17 A Kuratowski theorem for nonorientable surfaces – Archdeacon, Huneke - 1989
16 Typical subgraphs of 3- and 4connected graphs – Oporowski, Oxley, et al. - 1993
16 A simpler proof of the excluded minor theorem for higher surfaces – Thomassen - 1997
11 On determining the genus of a graph – Filotti, Miller, et al. - 1979
10 Graph minors. XVII. Taming a vortex – Robertson, Seymour - 1999
9 Densely embedded graphs – Archdeacon - 1992
9 Projective planarity in linear time – Mohar - 1993
9 Uniqueness and minimality of large face-width embeddings of graph”, manuscript – Mohar - 1994
9 Embeddings and minors – Thomassen - 1995
8 Grid minors of graphs on the torus – Graaf, Schrijver - 1994
8 Graph minors. XII. Distance on a surface – Robertson, Seymour - 1995
7 Separating and nonseparating disjoint homotopic cycles in graph embeddings – Brunet, Mohar, et al. - 1996
6 Graph minors XVIII. Tree-decompositions and well-quasiordering – Robertson, Seymour - 1988
6 Graph minors. XIX. Well-quasi-ordering on a surface – Robertson, Seymour - 1989
5 Graph minors. XV. Giant steps – Robertson, Seymour - 1996
5 Graph minors. XXII. Irrelevant vertices in linkage problems, preprint – Robertson, Seymour - 1992
4 Generating locally cyclic triangulations of surfaces – Malnic, Mohar - 1992
4 Graph minors. XIV. Extending an embedding – Robertson, Seymour - 1995
4 Graph minors. XXI. Graphs with unique linkages, preprint – Robertson, Seymour - 1992
3 An outline of a disjoint paths algorithm, in: "Paths, Flows, and VLSI-Layout – Robertson, Seymour - 1990
3 Representativity of surface embeddings, in: "Paths, Flows, and VLSI-Layout – Robertson, Vitray - 1990
3 A bound on the excluded minors for a surface, submitted – Seymour
3 Uniqueness of highly representative surface embeddings – Seymour, Thomas - 1996