Weighted graphs in graph theory are created by weighing different values depending on the importance of connections or centers in a graph model. Networks can be modeled with graphs such that the devices and centers correspond to the vertices and connections correspond to the edges. In these ...
We give an especially simple proof of a theorem in graph theory that forms the key part of the solution to a problem in commutative algebra, on how to characterize the integral closure of a polynomial ring generated by quadratic monomials....
1. The multi-stage weighted directed graph model for the problem is set up. 旅行总费用最小路线问题是生活实际中常见的一类问题,本文建立了该类问题的赋权多阶段有向图模型。2. In this paper,we study the shortest path problem of the multi-stage weighted directed graph and several solutions to ...
Several algorithms with polynomial running time can be derived from results known in graph theory. The main contribution of this work is a new fast approximation algorithm for the weighted clustering-coefficient which also gives very ... T Schank,D Wagner - 《Journal of Graph Algorithms & Applica...
Theoretical or Mathematical/ computational complexity computational geometry graph theory/ bar representability ordered weighted graphs bar layout vertically oriented non-intersecting line segments visibility graph horizontal visibilities bar-representable graphs weighted graph edge weights polynomial time algorithm ...
Using the language of graph theory two methods of partitioning V are examined. In one method, partitionings of V are obtained by selecting threshold values and applying them to a maximal weighted spanning forest. In another method a parametric linear program is used to obtain a “most adhesive...
Given the conflict graph and link bandwidth requirements, the objective is to determine, using only localized information, whether the...doi:10.48550/arXiv.1001.3053Ashwin GanesanMathematicsA. Ganesan. On some upper bounds on the fractional chromatic number of weighted graphs. In International ...
Relational data are universal in today’s society, such as social media network, citation network, and molecules. They can be transformed into graph data consisting of nodes and edges. To classify the class of nodes in graph, GNNs is a state-of-the-art..
Graph Theory—An Algorithmic Approach, Academic Press, New York (1975) Ch. 8 Google Scholar [3] S. Even Graph Algorithms, Computer Science Press, Rockville, MD (1979) Google Scholar [4] R.M. Karp A characterization of the minimum cycle mean in a digraph Discrete Math., 23 (1978), pp...
The main ingredient in the proof is a new structural result on weighted graphs with a forbidden subdivision.doi:10.1002/jgt.22045Ggol, AdamMicek, PiotrWalczak, BartoszJohn Wiley & Sons, LtdJournal of Graph TheoryAdam Gagol, Piotr Micek, and Bartosz Walczak. Graph sharing game and the struc...