Walks in Path Graph on Four Vertices and Fibonacci Sequence

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Linkage for the diamond and the path with four vertices

Given graphs G and H , we say G is H-linked if for every injective mapping ` : V (H) → V (G) we can find a subgraphH ′ of G that is a subdivision of H , with `(v) being the vertex of H ′ corresponding to each vertex v of H . In this paper we prove two results on H-linkage for 4-vertex graphs H . Goddard showed that 4-connected planar triangulations are 4-ordered, or in other words C4-linked. We...

متن کامل

Self-Avoiding Walks and Fibonacci Numbers

By combinatorial arguments, we prove that the number of self-avoiding walks on the strip {0, 1} × Z is 8Fn − 4 when n is odd and is 8Fn − n when n is even. Also, when backwards moves are prohibited, we derive simple expressions for the number of length n self-avoiding walks on {0, 1} × Z, Z× Z, the triangular lattice, and the cubic lattice.

متن کامل

Mining Frequent Graph Sequence Patterns Induced by Vertices

The mining of a complete set of frequent subgraphs from labeled graph data has been studied extensively. Furthermore, much attention has recently been paid to frequent pattern mining from graph sequences (dynamic graphs or evolving graphs). In this paper, we define a novel class of subgraph subsequence called an “induced subgraph subsequence” to enable efficient mining of a complete set of freq...

متن کامل

Crossing numbers of join of a graph on six vertices with a path and a cycle

The crossing number of a graph G is the minimum number of crossings of its edges among the drawings of G in the plane and is denoted by cr(G). Zarankiewicz conjectured that the crossing number of the complete bipartite graph Km,n equals . This conjecture has been verified by Kleitman for min {m, n} ≤ 6. Using this result, we give the exact values of crossing number of the join of a certain grap...

متن کامل

Fibonacci Identities and Graph Colorings

We generalize both the Fibonacci and Lucas numbers to the context of graph colorings, and prove some identities involving these numbers. As a corollary we obtain new proofs of some known identities involving Fibonacci numbers such as Fr+s+t = Fr+1Fs+1Ft+1 + FrFsFt − Fr−1Fs−1Ft−1.

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: Miskolc Mathematical Notes

سال: 2017

ISSN: 1787-2405,1787-2413

DOI: 10.18514/mmn.2017.1947