# Five-Connected Toroidal Graphs Are Hamiltonian

@article{Thomas1997FiveConnectedTG, title={Five-Connected Toroidal Graphs Are Hamiltonian}, author={Robin Thomas and Xingxing Yu}, journal={J. Comb. Theory, Ser. B}, year={1997}, volume={69}, pages={79-96} }

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## 5-Connected Toroidal Graphs are Hamiltonian-Connected

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CITES BACKGROUND & METHODS

HIGHLY INFLUENCED

## Hamiltonian cycles in bipartite quadrangulations on the torus

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CITES BACKGROUND

HIGHLY INFLUENCED

## Chords of Longest Circuits of Graphs by Xuechao

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CITES BACKGROUND

## Computing Tutte Paths

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CITES BACKGROUND & METHODS

## 2-edge-Hamiltonian-connectedness of 4-connected plane graphs

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## 3 0 A ug 2 01 3 Hamiltonian Cycle in Semi-Equivelar Maps on the Torus Dipendu Maity

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## Hamiltonian cycles in polyhedral maps

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CITES BACKGROUND

#### References

##### Publications referenced by this paper.

SHOWING 1-9 OF 9 REFERENCES

## A theorem on paths in planar graphs

VIEW 5 EXCERPTS

HIGHLY INFLUENTIAL

## Polytopes, graphs, and complexes

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## Hamiltonicity of 5-Connected Toroidal Triangulations

VIEW 2 EXCERPTS

## 4-Connected Projective-Planar Graphs Are Hamiltonian

VIEW 1 EXCERPT

## A theorem on paths in planar graphs

VIEW 2 EXCERPTS

## Nash–Williams, Unexplored and semi-explored territories in graph theory

VIEW 2 EXCERPTS

## Hamiltonian circuits in some maps on the torus

VIEW 2 EXCERPTS

## Tutte, A theorem on planar graphs

VIEW 1 EXCERPT

## A theorem on graphs

VIEW 1 EXCERPT