Online Bipartite Matching: A Survey and A New Problem
نویسنده
چکیده
We study the problem of online bipartite matching, where algorithms have to draw irrevocable matchings based on an incomplete bipartite graph. Specifically, we focus on algorithms that maximize number of matchings (i.e. graphs with weight 0 or 1). First, competitive ratios of a well-studied problem (only one side of the bipartite graph is incomplete) with adversarial, random order and iid models are presented. Second, we discuss how some of these models apply to a similar but rarely-studied problem: online bipartite matching with possibly both sides incomplete.
منابع مشابه
On the inverse maximum perfect matching problem under the bottleneck-type Hamming distance
Given an undirected network G(V,A,c) and a perfect matching M of G, the inverse maximum perfect matching problem consists of modifying minimally the elements of c so that M becomes a maximum perfect matching with respect to the modified vector. In this article, we consider the inverse problem when the modifications are measured by the weighted bottleneck-type Hamming distance. We propose an alg...
متن کاملOnline Vertex Cover and Matching: Beating the Greedy Algorithm
In this paper, we explicitly study the online vertex cover problem, which is a natural generalization of the well-studied ski-rental problem. In the online vertex cover problem, we are required to maintain a monotone vertex cover in a graph whose vertices arrive online. When a vertex arrives, all its incident edges to previously arrived vertices are revealed to the algorithm. For bipartite grap...
متن کاملAn Improved Semantic Schema Matching Approach
Schema matching is a critical step in many applications, such as data warehouse loading, Online Analytical Process (OLAP), Data mining, semantic web [2] and schema integration. This task is defined for finding the semantic correspondences between elements of two schemas. Recently, schema matching has found considerable interest in both research and practice. In this paper, we present a new impr...
متن کاملOnline Matching for Scheduling Problems
In this work an alternative online variant of the matching problem in bipartite graphs is presented. It is motivated by a scheduling problem in an online environment. In such an environment, a task is unknown up to its disclosure. However, in that moment it is not necessary to take a decision on the service of that particular task. In reality, an online scheduler has to decide on how to use the...
متن کاملA lazy approach to on-line bipartite matching
We present a new approach, called a lazy matching, to the problem of on-line matching on bipartite graphs. Originally, each arriving element is irrevocably matched with some already existing one. In this paper we allow matching a new element to a group of elements (possibly decreasing other groups) with additional restrictions that every two groups have to be disjoint and decreasing a group is ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2010