粗鲁性质
发表于 2025-3-28 18:18:27
Cubes and the Radon Transform,Let us now consider a more interesting example of a graph ., one whose eigenvalues have come up in a variety of applications. Let . denote the cyclic group of order 2, with elements 0 and 1 and group operation being addition modulo 2.
NATTY
发表于 2025-3-28 22:36:02
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巩固
发表于 2025-3-29 00:39:33
A Glimpse of Young Tableaux,We defined in Chapter . Young’s lattice . , the poset of all partitions of all nonnegative integers, ordered by containment of their Young diagrams.
多样
发表于 2025-3-29 03:19:13
The Matrix-Tree Theorem,The Matrix-Tree Theorem is a formula for the number of spanning trees of a graph in terms of the determinant of a certain matrix. We begin with the necessary graph-theoretical background. Let . be a finite graph, allowing multiple edges but not loops. (Loops could be allowed, but they turn out to be completely irrelevant.)
fiscal
发表于 2025-3-29 07:58:33
A Glimpse of Combinatorial Commutative Algebra,In this chapter we will discuss a profound connection between commutative rings and some combinatorial properties of simplicial complexes. The deepest and most interesting results in this area require a background in algebraic topology and homological algebra beyond the scope of this book.
移动
发表于 2025-3-29 14:38:32
Richard P. StanleyIncludes a new chapter on combinatorial commutative algebra.First text on algebraic combinatorics targeted towards undergraduates.Written by the most well-known algebraic combinatorist world-wide.Cove
Endometrium
发表于 2025-3-29 16:15:08
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头盔
发表于 2025-3-29 23:30:46
Algebraic Combinatorics978-3-319-77173-1Series ISSN 0172-6056 Series E-ISSN 2197-5604
发芽
发表于 2025-3-30 00:54:21
,Epigenetic Therapy for Alzheimer’s Disease,d elements, such as {1, 1, 3, 4, 4, 4, 6, 6}. We are only concerned with how many times each element occurs and not on any ordering of the elements. Thus for instance {2, 1, 2, 4, 1, 2} and {1, 1, 2, 2, 2, 4} are the same multiset: they each contain two 1’s, three 2’s, and one 4 (and no other elements).