Realizing degree sequences as Z3-connected graphs

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Realizing degree sequences as Z3-connected graphs

An integer-valued sequence π = (d1, . . . , dn) is graphic if there is a simple graph G with degree sequence of π . We say the π has a realization G. Let Z3 be a cyclic group of order three. A graph G is Z3-connected if for every mapping b : V (G) → Z3 such that  v∈V (G) b(v) = 0, there is an orientation of G and amapping f : E(G) → Z3−{0} such that for each vertex v ∈ V (G), the sum of the va...

متن کامل

Realizing degree sequences with k-edge-connected uniform hypergraphs

An integral sequence d = (d1, d2, . . . , dn) is hypergraphic if there is a simple hypergraph H with degree sequence d, and such a hypergraph H is a realization of d. A sequence d is r-uniform hypergraphic if there is a simple r-uniform hypergraph with degree sequence d. Similarly, a sequence d is r-uniformmulti-hypergraphic if there is an r-uniformhypergraph (possibly with multiple edges) with...

متن کامل

Contractible configurations, Z3-connectivity, Z3-flows and triangularly connected graphs

Tutte conjectured that every 4-edge connected graph admits a nowhere-zero Z3-flow and Jaeger, Linial, Payan and Tarsi conjectured that every 5-edge connected graph is Z3-connected. In this paper, we characterize the triangularly connected graphs G that are Γ-connected for any Abelian group Γ with |Γ| ≥ 3. Therefore, these two conjectures are verified for the family of triangularly connected gra...

متن کامل

Realizing Degree Sequences with Graphs Having Nowhere-Zero 3-Flows

The following open problem was proposed by Archdeacon: Characterize all graphical sequences π such that some realization of π admits a nowhere-zero 3-flow. This open problem is solved in this paper with the following complete characterization: A graphical sequence π = (d1, d2, . . . , dn) with minimum degree at least two has a realization that admits a nowhere-zero 3-flow if and only if π 6= (3...

متن کامل

Algorithms for realizing degree sequences of directed graphs

The Havel-Hakimi algorithm for constructing realizations of degree sequences for undirected graphs has been used extensively in the literature. A result by Kleitman and Wang extends the Havel-Hakimi algorithm to degree sequences for directed graphs. In this paper we go a step further and describe a modification of Kleitman and Wang’s algorithm that is a more natural extension of Havel-Hakimi’s ...

متن کامل

ذخیره 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: Discrete Mathematics

سال: 2014

ISSN: 0012-365X

DOI: 10.1016/j.disc.2014.06.019