Rings of Bonds

C. Paul Bonnington and Charles H. C. Little
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C. Paul Bonnington: University of Auckland, Department of Mathematics
Charles H. C. Little: Massey University, Department of Mathematics

Chapter 9 in The Foundations of Topological Graph Theory, 1995, pp 143-152 from Springer

Abstract: Abstract In this chapter, we give another characterisation of planar graphs, due to Chernyak (1980). In fact, we shall prove a general theorem about consistently orientable bonds in an arbitrary graph. The characterisation of planar graphs is obtained by dualising this theorem. The argument depends on a property of chordal graphs. Accordingly, chordal graphs are defined and studied in the next section.

Date: 1995
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DOI: 10.1007/978-1-4612-2540-9_9

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