{"title":"Output-sensitive complexity of multi-objective integer network flow problems","authors":"David Könen, Michael Stiglmayr","doi":"10.1007/s10878-025-01376-2","DOIUrl":"https://doi.org/10.1007/s10878-025-01376-2","url":null,"abstract":"This paper addresses the <jats:italic>output-sensitive</jats:italic> complexity for linear multi-objective minimum cost integer flow problem, providing insights into the time complexity for enumerating all supported nondominated vectors. The paper shows that there cannot exist an output-polynomial time algorithm for the enumeration of all supported nondominated vectors that determine the vectors in an lexicographically ordered way in the outcome space unless <jats:inline-formula> <jats:tex-math>$$textbf{P}=textbf{N P}$$</jats:tex-math> </jats:inline-formula> . Moreover, novel methods for identifying supported nondominated vectors in bi-objective minimum cost integer flow problems are proposed, accompanied by a numerical comparison between decision- and objective-space methods. A novel, equivalent, and more compact formulation of the minimum cost flow ILP formulation used in the <jats:inline-formula> <jats:tex-math>$$varepsilon $$</jats:tex-math> </jats:inline-formula> -constraint scalarization approach is introduced, demonstrating enhanced efficiency in the numerical tests.","PeriodicalId":50231,"journal":{"name":"Journal of Combinatorial Optimization","volume":"60 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146048527","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
K. Selvi, P. Vijayalakshmi, B. Selvalakshmi, G. Manikandan
{"title":"Adaptive latent space dip clustering and few-shot wavelet learning for android malware detection","authors":"K. Selvi, P. Vijayalakshmi, B. Selvalakshmi, G. Manikandan","doi":"10.1007/s10878-025-01384-2","DOIUrl":"https://doi.org/10.1007/s10878-025-01384-2","url":null,"abstract":"","PeriodicalId":50231,"journal":{"name":"Journal of Combinatorial Optimization","volume":"253 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145947439","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Bicriteria permutation flow shop scheduling problems with machine-dependent convex resource consumption functions","authors":"Byung-Cheon Choi, Myoung-Ju Park","doi":"10.1007/s10878-025-01385-1","DOIUrl":"https://doi.org/10.1007/s10878-025-01385-1","url":null,"abstract":"We consider a bicriteria permutation flow shop scheduling problem, where each operation’s processing time varies inversely with the power of the resource allocation assigned to the machine. The two criteria are the makespan and the total resource consumption cost, resulting in the formulation of four distinct models. The first model focuses on minimizing the sum of both criteria. In the second and third models, one criterion is minimized under a constraint imposed on the other. The fourth model aims to identify Pareto front. We show that these four models can be solved in polynomial time for the two-machine case; however, they become strongly NP-hard when extended to the three-machine case.","PeriodicalId":50231,"journal":{"name":"Journal of Combinatorial Optimization","volume":"82 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145947440","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Hytranet: a deep learning model for traffic congestion prediction in road networks","authors":"Manoj Kumar, Kranti Kumar","doi":"10.1007/s10878-025-01382-4","DOIUrl":"https://doi.org/10.1007/s10878-025-01382-4","url":null,"abstract":"","PeriodicalId":50231,"journal":{"name":"Journal of Combinatorial Optimization","volume":"3 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145947380","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the transmission irregular trees with the maximum Wiener index","authors":"Ivan Damnjanović, Anran Xu, Kexiang Xu","doi":"10.1007/s10878-025-01383-3","DOIUrl":"https://doi.org/10.1007/s10878-025-01383-3","url":null,"abstract":"","PeriodicalId":50231,"journal":{"name":"Journal of Combinatorial Optimization","volume":"46 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2026-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145947438","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Cover-free families on hypergraphs and combinatorial group testing.","authors":"Thaís Bardini Idalino, Lucia Moura","doi":"10.1007/s10878-026-01429-0","DOIUrl":"10.1007/s10878-026-01429-0","url":null,"abstract":"<p><p>Combinatorial group testing (CGT) is used to identify a subset of defective items from a set of items by grouping them together and performing a small number of tests on the groups. Cover-free families (CFFs), also called superimposed codes, are well-studied combinatorial structures used to design the groups in such a way that identifying the defective items from test results (decoding) can be done efficiently. This paper focuses on generalizations of CFFs that take into account a known structure among items to be tested. This structure is modeled by a hypergraph, where vertices are items to be tested and edges represent a predictable relationship among items. A typical application is testing for an infectious disease in a population where there are clusters of individuals with high contact rates, such as households within a neighbourhood or students taking courses within a school. As we aim at minimizing the number of tests, CFFs on hypergraphs yield an interesting combinatorial optimization problem and, like CFFs, have connections to coding theory, design theory and extremal set theory. In this paper, we discuss various types of CFFs on hypergraphs, decoding algorithms, bounds and constructions. In particular, we give several constructions that use the structure and properties of the underlying hypergraph.</p>","PeriodicalId":50231,"journal":{"name":"Journal of Combinatorial Optimization","volume":"51 5","pages":"55"},"PeriodicalIF":0.8,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13265591/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148267005","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"List 3-coloring on comb-convex and caterpillar-convex bipartite graphs.","authors":"Banu Baklan Şen, Thomas Erlebach, Öznur Yaşar","doi":"10.1007/s10878-026-01424-5","DOIUrl":"https://doi.org/10.1007/s10878-026-01424-5","url":null,"abstract":"<p><p>Given a graph <math><mrow><mi>G</mi> <mo>=</mo> <mo>(</mo> <mi>V</mi> <mo>,</mo> <mi>E</mi> <mo>)</mo></mrow> </math> and a list of available colors <i>L</i>(<i>v</i>) for each vertex <math><mrow><mi>v</mi> <mo>∈</mo> <mi>V</mi></mrow> </math> , where <math><mrow><mi>L</mi> <mo>(</mo> <mi>v</mi> <mo>)</mo> <mo>⊆</mo> <mo>{</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>…</mo> <mo>,</mo> <mi>k</mi> <mo>}</mo></mrow> </math> , List <i>k</i>-Coloring refers to the problem of assigning colors to the vertices of <i>G</i> such that each vertex receives a color from its own list and no two neighboring vertices receive the same color. The decision version of the problem List 3-Coloring is NP-complete even for bipartite graphs, and its complexity on comb-convex bipartite graphs has been an open problem. We give a polynomial-time algorithm to solve List 3-Coloring for caterpillar-convex bipartite graphs, a superclass of comb-convex bipartite graphs. We also give a polynomial-time recognition algorithm for the class of caterpillar-convex bipartite graphs.</p>","PeriodicalId":50231,"journal":{"name":"Journal of Combinatorial Optimization","volume":"51 5","pages":"47"},"PeriodicalIF":1.1,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC13179909/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147976776","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}