A General Purpose Algorithm for Counting Simple Cycles and Simple Paths of Any Length

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

A general purpose algorithm for counting simple cycles and simple paths of any length

We describe a general purpose algorithm for counting simple cycles and simple paths of any length ` on a (weighted di)graph on N vertices and M edges, achieving a time complexity of O ( N + M + ( `ω + `∆ ) |S`| ) . In this expression, |S`| is the number of (weakly) connected induced subgraphs of G on at most ` vertices, ∆ is the maximum degree of any vertex and ω is the exponent of matrix multi...

متن کامل

A Simple General-purpose I-V Model for All Operating Modes of Deep Submicron MOSFETs

A simple general-purpose I-V model for all operating modes of deep-submicron MOSFETs is presented. Considering the most dominant short channel effects with simple equations including few extra parameters, a reasonable trade-off between simplicity and accuracy is established. To further improve the accuracy, model parameters are optimized over various channel widths and full range of operating v...

متن کامل

A Simple Counting Formula for Lattice Paths

Let α,β ,x,y be positive integers. Fix a line L : Y = αX + β , and a lattice point Q(x,y) on L. It is well known that the number of lattice paths from the origin to Q which touches L only at Q is given by β x + y ( x + y x )

متن کامل

Finding simple paths and cycles in graphs

We describe a novel method, the method of random colorings, for finding simple paths and cycles of a specified length k in a graph G = (V,E). Using small bias probability spaces and families of perfect hash functions we can derandomize the randomized algorithms obtained using this method and obtain deterministic algorithms that establish the following new results: • For every fixed k, deciding ...

متن کامل

Finding k Simple Shortest Paths and Cycles

We present algorithms and hardness results for several problems related to finding multiple simple shortest paths in a graph. Our main result is a new algorithm for finding k simple shortest paths for all pairs of vertices in a weighted directed graph G = (V,E). For k = 2 our algorithm runs in O(mn + n logn) time where m and n are the number of edges and vertices in G. Our approach is based on ...

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: Algorithmica

سال: 2019

ISSN: 0178-4617,1432-0541

DOI: 10.1007/s00453-019-00552-1