Extension to the Stable Marriage Problem

Are there any very simple extensions of the Stable Marriage Problem that allows some type of steady state that includes a homosexual monogamous society?

Stable Marriage and its extension - Stack Overflow

Here is a paper that claims to give an algorithm to enumerate all stable marriages in optimal time and space. The author Dan Gusield is a ...

Stable Marriage Problem - GeeksforGeeks

The Stable Marriage Problem states that given N men and N women, where each person has ranked all members of the opposite sex in order of preference, marry the ...

Stable marriage assignment for unequal sets - Nick Arnosti

S.A. The present authors. [2] have extended the ~ work of Gale and Shapley to the problem of finding all the possible sets of stable marriages, and they have ...

Stable Marriage Problem - Empty preference lists - Stack Overflow

Extensions of the stable marriage problem may introduce support for incomplete lists and/or ties and/or different numbers of men and women ...

The stable marriage problem with restricted pairs - ScienceDirect.com

We consider extensions of the STABLE MARRIAGE problem obtained by forcing and by forbidding sets of pairs. We present a characterization for the existence of a ...

Variant of stable marriage problem - Mathematics Stack Exchange

This is a variant of the Stable marriage problem in the sense that now the graph is not bipartite, so a stable matching may not exist according to the ...

An Extended Stable Marriage Problem Algorithm for Clone Detection

Abstract:Code cloning negatively affects industrial software and threatens intellectual property. This paper presents a novel approach to ...

Stable Matching - CMU School of Computer Science

Extensions to stable marriage. Page 26. One-to-many matching. • The ... • The Stable Marriage Problem: Structure and. Algorithms (Gusfield and Irving).

Improved approximation results for the stable marriage problem

The stable marriage problem has recently been studied in its general setting, where both ties and incomplete lists are allowed.

Strategy-proof approximation algorithms for the stable marriage ...

In this paper, we extend these results to the stable marriage problem with ties and incomplete lists (SMTI).

The stable marriage problem with master preference lists

A variety of extensions of the basic problem have been studied. In the Stable Marriage problem with Incomplete lists (smi), the numbers of men and women need ...

A Survey of the Stable Marriage Problem and Its Variants

Hence, this is a constructive proof of the fact that any instance admits at least one stable match- ing. 3. Some Extensions of Preference Lists. In this section ...

An-Extended-Stable-Marriage-Problem-Algorithm-for-Clone ...

The extended version reduces the preference list by eliminating specific pairs that can be clearly identified as unrelated to any stable matching. The deletion ...

Strongly Stable Matchings in Time O(nm) and Extension to the ...

An instance of the stable marriage problem is an undirected bipartite graph G = (X ∪ W, E) with linearly ordered adjacency lists; ties are allowed.

A Study Of Stable Marriage Problems With Ties

We also study the structure underlying the set of super-stable matchings for the Stable. Marriage problem with ties (SMT). We extend the concept of a rotation, ...

Matching Under Preferences - Deeksha Adil

Various extentions of the Stable Marriage problem have been studied. The simplest and most natural extension is to incomplete lists, called a the Stable ...

The stable marriage problem with restricted pairs - CORE

Finally, we also present algorithms for finding a stable matching, all stable pairs and all stable matchings for this extension. The complexities of the ...

Stable marriage with indifference - Wikipedia

Stable marriage with indifference is a variant of the stable marriage problem. Like in the original problem, the goal is to match all men to all women such ...

Strongly stable matchings in time O(nm) and extension to the ...

An instance of the stable marriage problem is an undirected bipartite graph G = (X ∪ W, E) with linearly ordered adjacency lists with ties allowed in the ...