Analysis of Approximate Algorithms for Edge-Coloring Bipartite Graphs

نویسندگان

  • Ravi Jain
  • John Werth
چکیده

The problem of edge coloring a bipartite graph is to color the edges so that adjacent edges receive di erent colors An optimal algorithm uses the minimum number of colors to color the edges We consider several approximation algorithms for edge coloring bipartite graphs and show tight bounds on the number of colors they use in the worst case We also present results on the constrained edge coloring problem where each color may be used to color at most k edges

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Analysis of Approximate Algorithms for Constrained and Unconstrained Edge-coloring of Bipartite Graphs Applied Research Bellcore

The problem of edge coloring a bipartite graph is to color the edges so that adjacent edges receive di erent colors An optimal algorithm uses the minimum number of colors to color the edges We consider several approximation algorithms for edge coloring bipartite graphs and show tight bounds on the number of colors they use in the worst case We also brie y consider the constrained edge coloring ...

متن کامل

Analysis of approximate algorithms for constrainedand unconstrained edge - coloring of bipartite

The problem of edge-coloring a bipartite graph is to color the edges so that adjacent edges receive di erent colors. An optimal algorithm uses the minimum number of colors to color the edges. We consider several approximation algorithms for edge-coloring bipartite graphs and show tight bounds on the number of colors they use in the worst case. We also brie y consider the constrained edge-colori...

متن کامل

Another Simple Algorithm for Edge-Coloring Bipartite Graphs

A new edge-coloring algorithm for bipartite graphs is presented. This algorithm, based on the framework of the O(m log d + (m/d) log(m/d) log d) algorithm by Makino–Takabatake–Fujishige and the O(m log m) one by Alon, finds an optimal edge-coloring of a bipartite graph with m edges and maximum degree d in O(m log d + (m/d) log(m/d)) time. This algorithm does not require elaborate data structure...

متن کامل

Bounded Max-colorings of Graphs

In a bounded max-coloring of a vertex/edge weighted graph, each color class is of cardinality at most b and of weight equal to the weight of the heaviest vertex/edge in this class. The bounded max-vertex/edge-coloring problems ask for such a coloring minimizing the sum of all color classes’ weights. In this paper we present complexity results and approximation algorithms for those problems on g...

متن کامل

Edge-Coloring Bipartite Graphs

Given a bipartite graph G with n nodes, m edges and maximum degree ∆, we find an edge coloring for G using ∆ colors in time T +O(m log ∆), where T is the time needed to find a perfect matching in a k-regular bipartite graph with O(m) edges and k ≤ ∆. Together with best known bounds for T this implies an O(m log ∆ + m ∆ log m ∆ log ∆) edge-coloring algorithm which improves on the O(m log ∆+ m ∆ ...

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

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Inf. Process. Lett.

دوره 54  شماره 

صفحات  -

تاریخ انتشار 1995