On the approximability of minimum topic connected overlay and its special instances

Jun Hosoda; Juraj Hromkovič; Taisuke Izumi; Hirotaka Ono; Monika Steinová; Koichi Wada

doi:10.1007/978-3-642-22993-0_35

On the approximability of minimum topic connected overlay and its special instances

Jun Hosoda, Juraj Hromkovič, Taisuke Izumi, Hirotaka Ono, Monika Steinová, Koichi Wada

mathematics and information

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In the context of designing a scalable overlay network to support decentralized topic-based pub/sub communication, the Minimum Topic-Connected Overlay problem (Min-TCO in short) has been investigated: Given a set of t topics, collection of n users together with the lists of topics they are interested in, the aim is to connect these users to a network by a minimum number of edges such that every graph induced by users interested in a common topic is connected. It is known that Min-TCO is NP-hard and approximable within O(logt) in polynomial time. In this paper, we further investigate the problem and some of its special instances. We give various hardness results for instances where the number of users interested in a common topic is constant, and also for the instances where the number of topics in which an user is interested in is bounded by a constant. Furthermore, we close the gap of hardness of Min-TCO by showing its LOGAPX-completeness. We also present a few polynomial-time algorithms for very restricted instances of Min-TCO.

Original language	English
Title of host publication	Mathematical Foundations of Computer Science 2011 - 36th International Symposium, MFCS 2011, Proceedings
Pages	376-387
Number of pages	12
DOIs	https://doi.org/10.1007/978-3-642-22993-0_35
Publication status	Published - Sep 1 2011
Event	36th International Symposium on Mathematical Foundations of Computer Science, MFCS 2011 - Warsaw, Poland Duration: Aug 22 2011 → Aug 26 2011

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	6907 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	36th International Symposium on Mathematical Foundations of Computer Science, MFCS 2011
Country	Poland
City	Warsaw
Period	8/22/11 → 8/26/11

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Computer Science(all)

Access to Document

10.1007/978-3-642-22993-0_35

Fingerprint Dive into the research topics of 'On the approximability of minimum topic connected overlay and its special instances'. Together they form a unique fingerprint.

Cite this

Hosoda, J., Hromkovič, J., Izumi, T., Ono, H., Steinová, M., & Wada, K. (2011). On the approximability of minimum topic connected overlay and its special instances. In Mathematical Foundations of Computer Science 2011 - 36th International Symposium, MFCS 2011, Proceedings (pp. 376-387). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6907 LNCS). https://doi.org/10.1007/978-3-642-22993-0_35

On the approximability of minimum topic connected overlay and its special instances. / Hosoda, Jun; Hromkovič, Juraj; Izumi, Taisuke; Ono, Hirotaka; Steinová, Monika; Wada, Koichi.

Mathematical Foundations of Computer Science 2011 - 36th International Symposium, MFCS 2011, Proceedings. 2011. p. 376-387 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6907 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Hosoda, J, Hromkovič, J, Izumi, T, Ono, H, Steinová, M & Wada, K 2011, On the approximability of minimum topic connected overlay and its special instances. in Mathematical Foundations of Computer Science 2011 - 36th International Symposium, MFCS 2011, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 6907 LNCS, pp. 376-387, 36th International Symposium on Mathematical Foundations of Computer Science, MFCS 2011, Warsaw, Poland, 8/22/11. https://doi.org/10.1007/978-3-642-22993-0_35

Hosoda J, Hromkovič J, Izumi T, Ono H, Steinová M, Wada K. On the approximability of minimum topic connected overlay and its special instances. In Mathematical Foundations of Computer Science 2011 - 36th International Symposium, MFCS 2011, Proceedings. 2011. p. 376-387. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-642-22993-0_35

Hosoda, Jun ; Hromkovič, Juraj ; Izumi, Taisuke ; Ono, Hirotaka ; Steinová, Monika ; Wada, Koichi. / On the approximability of minimum topic connected overlay and its special instances. Mathematical Foundations of Computer Science 2011 - 36th International Symposium, MFCS 2011, Proceedings. 2011. pp. 376-387 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

@inproceedings{f557c015327c422fa6cd13eee809cf14,

title = "On the approximability of minimum topic connected overlay and its special instances",

abstract = "In the context of designing a scalable overlay network to support decentralized topic-based pub/sub communication, the Minimum Topic-Connected Overlay problem (Min-TCO in short) has been investigated: Given a set of t topics, collection of n users together with the lists of topics they are interested in, the aim is to connect these users to a network by a minimum number of edges such that every graph induced by users interested in a common topic is connected. It is known that Min-TCO is NP-hard and approximable within O(logt) in polynomial time. In this paper, we further investigate the problem and some of its special instances. We give various hardness results for instances where the number of users interested in a common topic is constant, and also for the instances where the number of topics in which an user is interested in is bounded by a constant. Furthermore, we close the gap of hardness of Min-TCO by showing its LOGAPX-completeness. We also present a few polynomial-time algorithms for very restricted instances of Min-TCO.",

author = "Jun Hosoda and Juraj Hromkovi{\v c} and Taisuke Izumi and Hirotaka Ono and Monika Steinov{\'a} and Koichi Wada",

year = "2011",

month = sep,

day = "1",

doi = "10.1007/978-3-642-22993-0_35",

language = "English",

isbn = "9783642229923",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

pages = "376--387",

booktitle = "Mathematical Foundations of Computer Science 2011 - 36th International Symposium, MFCS 2011, Proceedings",

note = "36th International Symposium on Mathematical Foundations of Computer Science, MFCS 2011 ; Conference date: 22-08-2011 Through 26-08-2011",

}

TY - GEN

T1 - On the approximability of minimum topic connected overlay and its special instances

AU - Hosoda, Jun

AU - Hromkovič, Juraj

AU - Izumi, Taisuke

AU - Ono, Hirotaka

AU - Steinová, Monika

AU - Wada, Koichi

PY - 2011/9/1

Y1 - 2011/9/1

N2 - In the context of designing a scalable overlay network to support decentralized topic-based pub/sub communication, the Minimum Topic-Connected Overlay problem (Min-TCO in short) has been investigated: Given a set of t topics, collection of n users together with the lists of topics they are interested in, the aim is to connect these users to a network by a minimum number of edges such that every graph induced by users interested in a common topic is connected. It is known that Min-TCO is NP-hard and approximable within O(logt) in polynomial time. In this paper, we further investigate the problem and some of its special instances. We give various hardness results for instances where the number of users interested in a common topic is constant, and also for the instances where the number of topics in which an user is interested in is bounded by a constant. Furthermore, we close the gap of hardness of Min-TCO by showing its LOGAPX-completeness. We also present a few polynomial-time algorithms for very restricted instances of Min-TCO.

AB - In the context of designing a scalable overlay network to support decentralized topic-based pub/sub communication, the Minimum Topic-Connected Overlay problem (Min-TCO in short) has been investigated: Given a set of t topics, collection of n users together with the lists of topics they are interested in, the aim is to connect these users to a network by a minimum number of edges such that every graph induced by users interested in a common topic is connected. It is known that Min-TCO is NP-hard and approximable within O(logt) in polynomial time. In this paper, we further investigate the problem and some of its special instances. We give various hardness results for instances where the number of users interested in a common topic is constant, and also for the instances where the number of topics in which an user is interested in is bounded by a constant. Furthermore, we close the gap of hardness of Min-TCO by showing its LOGAPX-completeness. We also present a few polynomial-time algorithms for very restricted instances of Min-TCO.

UR - http://www.scopus.com/inward/record.url?scp=80052111219&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80052111219&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-22993-0_35

DO - 10.1007/978-3-642-22993-0_35

M3 - Conference contribution

AN - SCOPUS:80052111219

SN - 9783642229923

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 376

EP - 387

BT - Mathematical Foundations of Computer Science 2011 - 36th International Symposium, MFCS 2011, Proceedings

T2 - 36th International Symposium on Mathematical Foundations of Computer Science, MFCS 2011

Y2 - 22 August 2011 through 26 August 2011

ER -