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On the $1.1$ Edge-Coloring of Multigraphs

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/jgt.3190080115openalex-snapshot
Edge‐coloring of multigraphs: Recoloring technique
inferredcites →https://doi.org/10.1002/jgt.3190100202openalex-snapshot
A generalization of edge‐coloring in graphs
inferredcites →https://doi.org/10.1002/sapm1949281148openalex-snapshot
A Theorem on Coloring the Lines of a Network
inferredcites →https://doi.org/10.1016/0001-8708(78)90018-xopenalex-snapshot
Edge-colourings of graphs
inferredcites →https://doi.org/10.1016/0196-6774(86)90039-8openalex-snapshot
A better than “best possible” algorithm to edge color multigraphs
inferredcites →https://doi.org/10.1109/31.1747openalex-snapshot
On the f-coloring of multigraphs
inferredcites →https://doi.org/10.1112/plms/s3-38.3.423openalex-snapshot
On Multi-Colourings of Cubic Graphs, and Conjectures of Fulkerson and Tutte
inferredcites →https://doi.org/10.1137/0210055openalex-snapshot
The NP-Completeness of Edge-Coloring
inferredcites →https://doi.org/10.7146/math.scand.a-11685openalex-snapshot
On edge-colorings of graphs.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/1098-2418(200009)17:2<117::aid-rsa3>3.0.co;2-9openalex-snapshot
Asymptotics of the list-chromatic index for multigraphs
inferred← citeshttps://doi.org/10.1002/9781118032497.ch12openalex-snapshot
Edge Colorings
inferred← citeshttps://doi.org/10.1002/jgt.20334openalex-snapshot
Bounding χ in terms of ω and Δ for quasi‐line graphs
inferred← citeshttps://doi.org/10.1002/jgt.20469openalex-snapshot
Vizing's coloring algorithm and the fan number
inferred← citeshttps://doi.org/10.1002/jgt.20537openalex-snapshot
On a theorem of Goldberg
inferred← citeshttps://doi.org/10.1002/rsa.21074openalex-snapshot
Efficiently list-edge coloring multigraphs asymptotically optimally
inferred← citeshttps://doi.org/10.1006/jagm.2001.1169openalex-snapshot
How Helpers Hasten h-Relations
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Asymptotics of the Chromatic Index for Multigraphs
inferred← citeshttps://doi.org/10.1007/11496199_3openalex-snapshot
Complexity of Minimal Tree Routing and Coloring
inferred← citeshttps://doi.org/10.1007/11573036_6openalex-snapshot
Routing and Wavelength Assignment in Generalized WDM Tree Networks of Bounded Degree
inferred← citeshttps://doi.org/10.1007/11671541_3openalex-snapshot
Approximation Algorithms for Path Coloring in Trees
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Combinatorial Algorithms for Data Migration to Minimize Average Completion Time
inferred← citeshttps://doi.org/10.1007/11944836_13openalex-snapshot
Fast Edge Colorings with Fixed Number of Colors to Minimize Imbalance
inferred← citeshttps://doi.org/10.1007/3-540-44688-5_12openalex-snapshot
An Experimental Study of Data Migration Algorithms
inferred← citeshttps://doi.org/10.1007/3-540-45753-4_11openalex-snapshot
Approximating Maximum Edge Coloring in Multigraphs
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Scheduling file transfers under port and channel constraints
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Approximation on the web: A compendium of NP optimization problems
inferred← citeshttps://doi.org/10.1007/978-1-4757-3563-5_3openalex-snapshot
Wavelength Assignment
inferred← citeshttps://doi.org/10.1007/978-3-540-27836-8_56openalex-snapshot
Improved Results for Data Migration and Open Shop Scheduling
inferred← citeshttps://doi.org/10.1007/978-3-540-28629-5_2openalex-snapshot
Multicoloring: Problems and Techniques
inferred← citeshttps://doi.org/10.1007/978-3-540-31833-0_21openalex-snapshot
Strong Colorings of Hypergraphs
inferred← citeshttps://doi.org/10.1007/978-3-540-39890-5_19openalex-snapshot
Resource Allocation Problems in Multifiber WDM Tree Networks
inferred← citeshttps://doi.org/10.1007/978-3-540-74208-1_14openalex-snapshot
Soft Edge Coloring
inferred← citeshttps://doi.org/10.1007/bfb0015243openalex-snapshot
Edge-coloring algorithms
inferred← citeshttps://doi.org/10.1007/bfb0024499openalex-snapshot
Off-line and on-line call-scheduling in stars and trees
inferred← citeshttps://doi.org/10.1007/s00373-018-1986-5openalex-snapshot
Graph Edge Coloring: A Survey
inferred← citeshttps://doi.org/10.1007/s00453-007-9118-2openalex-snapshot
Combinatorial Algorithms for Data Migration to Minimize Average Completion Time
inferred← citeshttps://doi.org/10.1007/s00453-008-9214-yopenalex-snapshot
Algorithms for Data Migration
inferred← citeshttps://doi.org/10.1007/s00607-007-0234-2openalex-snapshot
Path multicoloring with fewer colors in spiders and caterpillars
inferred← citeshttps://doi.org/10.1007/s10878-009-9232-yopenalex-snapshot
Approximating the chromatic index of multigraphs
inferred← citeshttps://doi.org/10.1007/s10878-020-00564-6openalex-snapshot
A $$\frac{5}{2}$$-approximation algorithm for coloring rooted subtrees of a degree 3 tree
inferred← citeshttps://doi.org/10.1007/s10878-025-01348-6openalex-snapshot
Proof of the Goldberg–Seymour conjecture on edge–colorings of multigraphs
inferred← citeshttps://doi.org/10.1007/s12351-019-00535-8openalex-snapshot
A value for games on colored communication structures
inferred← citeshttps://doi.org/10.1016/j.dam.2008.04.021openalex-snapshot
Efficient algorithms for wavelength assignment on trees of rings
inferred← citeshttps://doi.org/10.1016/j.disc.2008.04.046openalex-snapshot
On Vizing’s bound for the chromatic index of a multigraph
inferred← citeshttps://doi.org/10.1016/j.ejc.2007.04.014openalex-snapshot
An upper bound for the chromatic number of line graphs
inferred← citeshttps://doi.org/10.1016/j.jalgor.2004.07.009openalex-snapshot
Data migration to minimize the total completion time
inferred← citeshttps://doi.org/10.1016/j.jctb.2009.04.001openalex-snapshot
Graph edge colouring: Tashkinov trees and Goldberg's conjecture
inferred← citeshttps://doi.org/10.1016/j.jctb.2018.01.006openalex-snapshot
Chromatic index determined by fractional chromatic index
inferred← citeshttps://doi.org/10.1016/j.jctb.2019.03.004openalex-snapshot
Structural properties of edge-chromatic critical multigraphs
inferred← citeshttps://doi.org/10.1016/j.jda.2007.02.001openalex-snapshot
Inapproximability and approximability of minimal tree routing and coloring
inferred← citeshttps://doi.org/10.1016/j.optcom.2025.131883openalex-snapshot
Optimum 6G/7G quantum network design: Survey
inferred← citeshttps://doi.org/10.1016/s0020-0190(98)00138-0openalex-snapshot
Improving a family of approximation algorithms to edge color multigraphs
inferred← citeshttps://doi.org/10.1016/s0304-3975(99)00152-8openalex-snapshot
The complexity of path coloring and call scheduling
inferred← citeshttps://doi.org/10.1017/cbo9781139519793.008openalex-snapshot
Edge-colourings
inferred← citeshttps://doi.org/10.1109/90.909024openalex-snapshot
On the wavelength assignment problem in multifiber WDM star and ring networks
inferred← citeshttps://doi.org/10.1109/broadnets.2008.4769141openalex-snapshot
Minimum wavelength assignment for multicast traffic in all-optical WDM tree networks
inferred← citeshttps://doi.org/10.1109/hicss.1997.667220openalex-snapshot
Call scheduling in trees, rings and meshes
inferred← citeshttps://doi.org/10.1109/icdcs.2011.46openalex-snapshot
Data Migration in Heterogeneous Storage Systems
inferred← citeshttps://doi.org/10.1109/infcom.2000.832577openalex-snapshot
On the wavelength assignment problem in multifiber WDM star and ring networks
inferred← citeshttps://doi.org/10.1109/ipdps.2005.433openalex-snapshot
Tight Bounds for Wavelength Assignment on Trees of Rings
inferred← citeshttps://doi.org/10.1109/nca.2017.8171340openalex-snapshot
Data migration algorithms in heterogeneous storage systems: A comparative performance evaluation
inferred← citeshttps://doi.org/10.1109/tnet.2005.852873openalex-snapshot
Characterizing achievable rates in multi-hop wireless mesh networks with orthogonal channels
inferred← citeshttps://doi.org/10.1109/wcnc.2007.57openalex-snapshot
Cross-Layer Optimization for OFDMA-Based Wireless Mesh Backhaul Networks
inferred← citeshttps://doi.org/10.1137/080731712openalex-snapshot
Adaptive Local Ratio
inferred← citeshttps://doi.org/10.1137/s009753970342585xopenalex-snapshot
Algorithms for Data Migration with Cloning
inferred← citeshttps://doi.org/10.1145/1125994.1126001openalex-snapshot
Improved results for data migration and open shop scheduling
inferred← citeshttps://doi.org/10.1145/1361192.1361198openalex-snapshot
An asymptotic approximation scheme for multigraph edge coloring
inferred← citeshttps://doi.org/10.1145/306198.306210openalex-snapshot
How to find the best approximation results
inferred← citeshttps://doi.org/10.1145/335603.335880openalex-snapshot
A grouping genetic algorithm for coloring the edges of graphs
inferred← citeshttps://doi.org/10.1145/347792.347808openalex-snapshot
Efficient implementation of an optimal greedy algorithm for wavelength assignment in directed tree networks
inferred← citeshttps://doi.org/10.1145/3708597.3708609openalex-snapshot
Data Migration in Large Scale Storage Systems with Varying File Sizes
inferred← citeshttps://doi.org/10.1145/773153.773156openalex-snapshot
Algorithms for data migration with cloning
inferred← citeshttps://doi.org/10.1145/938985.938991openalex-snapshot
Characterizing achievable rates in multi-hop wireless networks
inferred← citeshttps://doi.org/10.1201/9781351236423-38openalex-snapshot
Algorithms for Chromatic Sums, Multicoloring, and Scheduling Dependent Jobs
inferred← citeshttps://doi.org/10.3233/hsn-1999-173openalex-snapshot
On bounds for the wavelength assignment problem on optical ring networks
inferred← citeshttps://doi.org/10.3390/a12020034openalex-snapshot
From the Quantum Approximate Optimization Algorithm to a Quantum Alternating Operator Ansatz
inferred← citeshttps://doi.org/10.37236/1011openalex-snapshot
A Short Proof of a Theorem of Kano and Yu on Factors in Regular Graphs
inferred← citeshttps://doi.org/10.37236/4847openalex-snapshot
Clusters in a Multigraph with Elevated Density
inferred← citeshttps://doi.org/10.3929/ethz-a-004832472openalex-snapshot
On the design and operation of high-performance optical networks
inferred← citeshttps://doi.org/10.46298/dmtcs.3401openalex-snapshot
An upper bound for the chromatic number of line graphs
inferred← citeshttps://doi.org/10.47443/dml.2021.s105openalex-snapshot
A brief history of edge-colorings – with personal reminiscences
inferred← citeshttps://doi.org/10.48550/arxiv.1010.4018openalex-snapshot
A Paradigm for Channel Assignment and Data Migration in Distributed Systems
inferred← citeshttps://doi.org/10.48550/arxiv.1706.04476openalex-snapshot
A conditional greedy algorithm for edge-coloring
inferred← citeshttps://doi.org/10.82308/16876openalex-snapshot
Claw-free graphs and two conjectures on omega, Delta, and chi
inferred← citeshttps://doi.org/10.82308/54428openalex-snapshot
Fractional edge and total colouring
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