## 3 Citations

### Constructing a minimum genus embedding of the complete tripartite graph Kn, n, 1 for odd n

- MathematicsDiscret. Math.
- 2019

### Symmetric road interchanges

- Mathematics
- 2018

A road interchange where $n$ roads meet and in which the drivers are not allowed to change lanes can be modelled as an embedding of a 2-coloured (hence bipartite) multigraph $G$ with equal-sized…

### Stronger ILPs for the Graph Genus Problem

- Computer Science, MathematicsESA
- 2019

This work shows how to improve the ILP formulation, and shows that instead of modeling rotation schemes explicitly, it suffices to optimize over partitions of the (bidirected) arc set A of the graph.

## References

SHOWING 1-10 OF 18 REFERENCES

### Orientable and Nonorientable Genera for Some Complete Tripartite Graphs

- MathematicsSIAM J. Discret. Math.
- 2004

Three general reduction formulas are obtained to determine the orientable and nonorientable genera for complete tripartite graphs.

### Orientable Hamilton Cycle Embeddings of Complete Tripartite Graphs II: Voltage Graph Constructions and Applications

- MathematicsJ. Graph Theory
- 2014

A voltage graph construction is presented for building embeddings of the complete tripartite graph on an orientable surface such that the boundary of every face is a hamilton cycle.

### The orientable genus of some joins of complete graphs with large edgeless graphs

- MathematicsDiscret. Math.
- 2009

### Graphs on Surfaces

- MathematicsJohns Hopkins series in the mathematical sciences
- 2001

This chapter discusses Embeddings Combinatorially, Contractibility, of Cycles, and the Genus Problem, which focuses on planar graphs and the Jordan Curve Theorem, and colorings of Graphs on Surfaces, which are 5-choosable.

### Topological Graph Theory

- MathematicsHandbook of Graph Theory
- 2003

Introduction Voltage Graphs and Covering Spaces Surfaces and Graph Imbeddings Imbedded Voltage Graphs and Current Graphs Map Colorings The Genus of A Group References.

### Improvement Possibilities of City Transportation System by Using PINAVIA Interchange

- Computer Science
- 2010

The article analyzes transportation system problems of a common city by taking an example of Vilnius city and reveals drawbacks of street infrastructure and traffic organization which are responsible…

### Dictionary of Architecture and Building Construction

- Art
- 2008

The Dictionary offers huge coverage for anyone studying or working in architecture, construction or any of the built environment fields, and the innovative and detailed cross-referencing system allows readers to track down elusive definitions from general subject headings.

### Orientable and nonorientable genus of the complete bipartite graph

- MathematicsJ. Comb. Theory, Ser. B
- 1978