In mathematics, a toroidal graph is a graph that can be embedded on a torus. In other words, the graph's vertices can be placed on a torus such thatâ€¦Â (More)

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2010

2010

- LOCALLY PLANAR, TOROIDAL GRAPHS, ARE 5-COLORABLE, Michael O. Albertson
- 2010

If a graph can be embedded in a torus in such a way that all noncontractible cycles have length at least 8, then its vertices mayâ€¦Â (More)

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2007

2007

- Petr HlinenÃ½, Gelasio Salazar
- ISAAC
- 2007

CrossingNumber is one of the most challenging algorithmic problems in topological graph theory, with applications to graphâ€¦Â (More)

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2005

2005

- Robin Thomas, Xingxing Yu, Wenan Zang
- J. Comb. Theory, Ser. B
- 2005

Tutte has shown that every 4-connected planar graph contains a Hamilton cycle. GrÃ¼nbaum and Nash-Williams independentlyâ€¦Â (More)

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Highly Cited

2002

Highly Cited

2002

The most thoroughly understood example of superstring compactification is compactification on a fiat torus [1]. This example isâ€¦Â (More)

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Highly Cited

1997

Highly Cited

1997

We study toroidal compactification of Matrix theory, using ideas and results of noncommutative geometry. We generalize this toâ€¦Â (More)

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1997

1997

- Robin Thomas, Xingxing Yu
- J. Comb. Theory, Ser. B
- 1997

It is well known that not all 3-connected planar graphs are hamiltonian. Whitney [10] proved that every triangulation of theâ€¦Â (More)

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Highly Cited

1996

Highly Cited

1996

It is argued that every Calabi-Yau manifold X with a mirror Y admits a family of supersymmetric toroidal 3-cycles. Moreover theâ€¦Â (More)

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1995

Highly Cited

1995

- Paul K. Townsend
- 1995

The effective action for type II string theory compactified on a six torus is N = 8 supergravity, which is known to have an E 7â€¦Â (More)

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1982

1982

- ARE 5-COLORABLE, Michael O. Albertson, Walter R. Stromquist
- 1982

If a graph can be embedded in a torus in such a way that all noncontractible cycles have length at least 8, then its vertices mayâ€¦Â (More)

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Highly Cited

1977

Highly Cited

1977

- Henry Fuchs, Zvi M. Kedem, Samuel P. Uselton
- SIGGRAPH
- 1977

In many scientific and technical endeavors, a three-dimensional solid must be reconstructed from serial sections, either to aidâ€¦Â (More)

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