Hamming polynomial of a demimatroid
نویسندگان
چکیده
Johnsen, Roksvold and Verdure have shown how fundamental invariants concepts of linear coding theory, such as weight enumerators higher weights, can be studied in the context matroid theory. They that Betti numbers, a its elongations, associated to code, determine both enumerator weights matroid. In same vein, Britz, Mayhew Shiromoto, introduced demimatroids natural generalization matroids. are appropriate combinatorial objects for studying Wei’s duality. Continuing this line research, we study Hamming polynomial demimatroid, which is extended It results specialization Tutte actually equivalent it. addition, guided by work matroids, prove numbers of, demimatroid polynomial. Our may applied simplicial complexes since canonical way they viewed demimatroids. Furthermore, following Brylawski Gordon, show generalized one step further, structures. All largely extends notions deletion, contraction, duality, nullity, minors, enumerators, MacWilliams identity, non-matroidal
منابع مشابه
extensions of some polynomial inequalities to the polar derivative
توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولOn the polar derivative of a polynomial
For a polynomial p(z) of degree n, having all zeros in |z|< k, k< 1, Dewan et al [K. K. Dewan, N. Singh and A. Mir, Extension of some polynomial inequalities to the polar derivative, J. Math. Anal. Appl. 352 (2009) 807-815] obtained inequality between the polar derivative of p(z) and maximum modulus of p(z). In this paper we improve and extend the above inequality. Our result generalizes certai...
متن کاملOn the Roots of Hosoya Polynomial of a Graph
Let G = (V, E) be a simple graph. Hosoya polynomial of G is d(u,v) H(G, x) = {u,v}V(G)x , where, d(u ,v) denotes the distance between vertices u and v. As is the case with other graph polynomials, such as chromatic, independence and domination polynomial, it is natural to study the roots of Hosoya polynomial of a graph. In this paper we study the roots of Hosoya polynomials of some specific g...
متن کاملa comparison of linguistic and pragmatic knowledge: a case of iranian learners of english
در این تحقیق دانش زبانشناسی و کاربردشناسی زبان آموزان ایرانی در سطح بالای متوسط مقایسه شد. 50 دانش آموز با سابقه آموزشی مشابه از شش آموزشگاه زبان مختلف در دو آزمون دانش زبانشناسی و آزمون دانش گفتار شناسی زبان انگلیسی شرکت کردند که سوالات هر دو تست توسط محقق تهیه شده بود. همچنین در این تحقیق کارایی کتابهای آموزشی زبان در فراهم آوردن درون داد کافی برای زبان آموزان ایرانی به عنوان هدف جانبی تحقیق ...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The São Paulo Journal of Mathematical Sciences
سال: 2022
ISSN: ['2316-9028', '1982-6907']
DOI: https://doi.org/10.1007/s40863-022-00339-3