Modularity of cycles and paths in graphs-Reference-Cited by-同舟云学术

Modularity of cycles and paths in graphs

Published:1991-04 Issue:2 Volume:38 Page:255-274
ISSN:0004-5411
Container-title:Journal of the ACM
language:en
Short-container-title:J. ACM

Author:

Arkin E. M.¹,Papadimitriou C. H.²,Yannakakis M.³

Affiliation:

1. Cornell Univ., Ithaca, NY

2. Univ. of California at San Diego, La Jolla

3. AT&T Bell Labs., Short Hills, NJ

Abstract

Certain problems related to the length of cycles and paths modulo a given integer are studied. Linear-time algorithms are presented that determine whether all cycles in an undirected graph are of length P mod Q and whether all paths between two specified nodes are of length P mod Q , for fixed integers P . Q . These results are compared to those for directed graphs.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Link

https://dl.acm.org/doi/pdf/10.1145/103516.103517

Reference20 articles.

1. Computing a graph's period quadratically by node condensation;BALCER Y.;Disc. Math.,1973

2. Qualitative economics and the scope of the correspondence principle;BASSETT L.;Econometrica,1968

3. DENG X. AND PAPADIMITRIOU C. H. On path lengths modulo three J. Graph Theory to appear. 10.1002/jgt.3190150305 DENG X. AND PAPADIMITRIOU C. H. On path lengths modulo three J. Graph Theory to appear. 10.1002/jgt.3190150305

4. The directed subgraph homeomorphism problem;FORTUNE S.;Theor. Comput. Sci.,1980

Cited by 21 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Shortest odd paths in undirected graphs with conservative weight functions;Discrete Applied Mathematics;2024-11

2. The Shortest Even Cycle Problem Is Tractable;SIAM Journal on Computing;2024-02-15

3. The Complexity of Regular Trail and Simple Path Queries on Undirected Graphs;Proceedings of the 41st ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems;2022-06-12

4. The shortest even cycle problem is tractable;Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing;2022-06-09

5. Finding a path with two labels forbidden in group-labeled graphs;Journal of Combinatorial Theory, Series B;2020-07