Chromatic Solutions
1982 ◽
Vol 34
(3)
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pp. 741-758
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Keyword(s):
Early in the Seventies I sought the number of rooted λ-coloured triangulations of the sphere with 2p faces. In these triangulations double joins, but not loops, were permitted. The investigation soon took the form of a discussion of a certain formal power series l(y, z, λ) in two independent variables y and z.The basic theory of l is set out in [1]. There l is defined as the coefficient of x2 in a more complicated power series g(x, y, z, λ). But the definition is equivalent to the following formula.1Here T denotes a general rooted triangulation. n(T) is the valency of its root-vertex, and 2p(T) is the number of its faces. P(T, λ) is the chromatic polynomial of the graph of T.
1968 ◽
Vol 9
(2)
◽
pp. 146-151
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1990 ◽
Vol 33
(3)
◽
pp. 483-490
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Keyword(s):
1982 ◽
Vol 25
(2)
◽
pp. 183-207
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1968 ◽
Vol 8
(1)
◽
pp. 109-113
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Keyword(s):
1973 ◽
Vol 16
(2)
◽
pp. 176-184
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1954 ◽
Vol 6
◽
pp. 325-340
◽
Keyword(s):
2003 ◽
Vol 184
(2)
◽
pp. 369-383
◽
Keyword(s):
2004 ◽
Vol 339
(8)
◽
pp. 533-538
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