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Date: 18-3-2022
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A polynomial in two variables for abstract graphs. A graph with one graph vertex has . Adding a graph vertex not attached by any graph edges multiplies the by . Picking a particular graph edge of a graph , the polynomial for is defined by adding the polynomial of the graph with that graph edge deleted to times the polynomial of the graph with that graph edge collapsed to a point.
Setting gives the chromatic number of the graph. The dichroic polynomial of a planar graph can be expressed as the square bracket polynomial of the corresponding alternating link by
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where is the number of graph vertices in . Dichroic polynomials for some simple graphs are
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Adams, C. C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, pp. 231-235, 1994.
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تفوقت في الاختبار على الجميع.. فاكهة "خارقة" في عالم التغذية
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أمين عام أوبك: النفط الخام والغاز الطبيعي "هبة من الله"
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قسم شؤون المعارف ينظم دورة عن آليات عمل الفهارس الفنية للموسوعات والكتب لملاكاته
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