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Date: 19-5-2022
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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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مخاطر خفية لمكون شائع في مشروبات الطاقة والمكملات الغذائية
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"آبل" تشغّل نظامها الجديد للذكاء الاصطناعي على أجهزتها
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نقابة تمريض كربلاء تشيد بمستشفى الكفيل وتؤكّد أنّها بيئة تدريبية تمتلك معايير النجاح
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