The exponent of Cartesian product of cycles
نویسندگان
چکیده
منابع مشابه
Coloring the square of the Cartesian product of two cycles
The square G2 of a graph G is defined on the vertex set of G in such a way that distinct vertices with distance at most two in G are joined by an edge. We study the chromatic number of the square of the Cartesian product Cm2Cn of two cycles and show that the value of this parameter is at most 7 except when m = n = 3, in which case the value is 9, and when m = n = 4 or m = 3 and n = 5, in which ...
متن کاملOn the Exponent of Triple Tensor Product of p-Groups
The non-abelian tensor product of groups which has its origins in algebraic K-theory as well as inhomotopy theory, was introduced by Brown and Loday in 1987. Group theoretical aspects of non-abelian tensor products have been studied extensively. In particular, some studies focused on the relationship between the exponent of a group and exponent of its tensor square. On the other hand, com...
متن کاملPebbling numbers of the Cartesian product of cycles and graphs
The pebbling number f(G) of a graphG is the least p such that, no matter how p pebbles are placed on the vertices of G, we can move a pebble to any vertex by a sequence of moves, each move taking two pebbles off one vertex and placing one on an adjacent vertex. It is conjectured that for all graphs G and H , we have f(G × H) ≤ f(G)f(H). If the graph G satisfies the odd 2-pebbling property, we w...
متن کاملHyperhamiltonicity Of The Cartesian Product Of Two Directed Cycles
Let Za × Zb be the product of two directed cycles, let Zc be a subgroup of Za, and let Zd be a subgroup of Zb. Also, let A = a c and B =
متن کاملIncidence coloring of the Cartesian product of two cycles
We prove that the incidence chromatic number of the Cartesian product Cm2Cn of two cycles equals 5 when m,n ≡ 0 (mod 5) and 6 otherwise.
متن کاملذخیره 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: Applied Mathematics Letters
سال: 2009
ISSN: 0893-9659
DOI: 10.1016/j.aml.2008.06.030