نتایج جستجو برای: signed
تعداد نتایج: 14531 فیلتر نتایج به سال:
A projective-planar signed graph has no two vertex-disjoint negative circles. We prove that every signed graph with no two vertex-disjoint negative circles and no balancing vertex is obtained by taking a projective-planar signed graph or a copy of −K5 and then taking 1, 2, and 3-sums with balanced signed graphs.
Let C(T ) be a generalized Coxeter group, which has a natural map onto one of the classical Coxeter groups, either Bn or Dn. Let CY (T ) be a natural quotient of C(T ), and if C(T ) is simply-laced (which means all the relations between the generators has order 2 or 3), CY (T ) is a generalized Coxeter group, too . Let At,n be a group which contains t Abelian groups generated by n elements. The...
% &'( ) ! ) ! ) *& + ! , -, , ) -% &'( !"# % !. , / ! -% &'( ! ! + / , ! ! , -, ! ! ). ! * 0 . . % ! % &'( . ) + & ! ! , . . & ! + . ! ) ) + ! 1 2345 ! , . ) & 6 ! ! + ! . . ! ! % &'(& ! ) & + ! ! % &* 17745 ! % &8 19845 + & , ! & ! : ! . & ) . . , % &'( ! + & ! ! 18845 ! 0 ;& . . ! 1% &*< 8(4 % &8< 7745 0 ! . % &'( ! + + 0 = + 0 1 $'' '35 ! % &* 1>>45 ! % &8 1>845 ) % &'3 ! % & % ) ! ! % &'( -...
A relationship between signed Eulerian polynomials and the classical on Sn was given by Désarménien Foata in 1992, a refined version, called Euler–Mahonian identity, together with bijective proof proposed Wachs same year. By generalizing this bijection, paper we extend above results to Coxeter groups of types Bn, Dn, complex reflection group G(r,1,n), where ‘sign’ is taken be any one-dimensiona...
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