The cycle code of a graph is the binary linear span of the characteristic vectors of circuits. We characterize the graphs whose cycle codes are maximal for the packing problem, based on characterizing the graphs whose girth is at least where n and c are the numbers of vertices and connected components.
The cycle code of a graph r is maximal if r with isolated vertices removed is one of the following: (a) A forest (including the empty graph). (b) A graph in�...
In this paper it is proved that the complete multipartite graph G can be decomposed into 4-cycles cyclically if and only if G is balanced and 4-sufficient.
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Aug 19, 2021 � Maximality is only with respect to the vertex set, not the edge set. So in K4, no 3-cycle is maximal, because it's vertex set is contained�...
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May 20, 2019 � Abstract. The main problem considered in this paper is maximizing the number of cycles in a graph with given number of edges.
The lower bound implies that cycle codes that are maximal codes, in the sense that adding any new codewords will reduce the minimum distance, are very rare, a�...
Dec 6, 2019 � Given a directed graph with real-valued edge weights, find a set of directed cycles (no two cycles can share a vertex) that have the maximum sum of weights.
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The cycle code of a graph is the binary linear span of the characteristic vectors of circuits. We exploit a connection between the covering radius of this�...
Apr 18, 2023 � I am looking for a maximal set C of simple cycles of length greater of equal 3 such that every edge of the graph is traversed exactly once. The�...
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Apr 25, 2021 � What are maximal circuits of graphs? We'll go over the definition of maximal circuits and ...
Duration: 10:30
Posted: Apr 25, 2021
Duration: 10:30
Posted: Apr 25, 2021
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