Graph Theory Applied to Chemistry

  • Kunio Murasugi
Part of the Modern Birkhäuser Classics book series (MBC)


In our discussions thus far we have considered a graph to be a figure, to put it naively, composed of dots and line segments (topologically this is called a 1-complex). To be more exact, less intuitive, and more mathematical, a graph is usually thought of in an abstract sense. Therefore, strictly speaking, a (finite) graph G is a pair of (finite) sets {VG, EG} that fulfills an incidence relation. An element of VG is then said to be a vertex of G, while an element of EG is said to be an edge of G. The relation/condition mentioned above stipulates that an element, e, of EG is incident to elements, say, a and b, of VG (nota bene, the condition does not require a and b to be distinct.) The two vertices a and b are said to be endpoints of e. If it is the case that a = b, then e is said to be a loop.


Plane Graph Complete Graph Abstract Graph Dual Graph Orientation Preserve 
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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Kunio Murasugi
    • 1
  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

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