Integer 4-flows and cycle covers
Nettet(1) An integer flow of G is an ordered pair (D, f) such that f’(u) = f-(v) for every vertex u E V(G). (2) A k-flow of G is an integer flow (D,f) such that If(e)1 < k for every edge of G. … NettetThere exist infinitely many cubic graphs with cyclic connectivity 2, as well as those with cyclic connectivity 3, whose covering ratio equals 7/5. By contrast, all cyclically 4-edge-connected cubic graphs where the length of a shortest cycle cover is known have covering ratio close to the natural lower bound which equals 4/3.
Integer 4-flows and cycle covers
Did you know?
Nettet1. nov. 2024 · A signed circuit cover of G is a collection F of signed circuits in G such that each edge eεE(G) is contained in at least one signed circuit of F; The length of F is the sum of the lengths of the... Nettet[16] Zhang, C.-Q., Integer Flows and Cycle Covers of Graphs. 1997. Marcel Dekker, New York. Google Scholar; Cited By View all. Index Terms (auto-classified) Nowhere-zero 4-flow in almost Petersen-minor free graphs. Mathematics of computing. Discrete mathematics. Combinatorics. Combinatorial algorithms. Graph theory.
NettetInteger Flows and Cycle Covers On Edge-Decomposition of Cubic Graphs Into Copies of the Double-Star with Four Edges ∗† Max-Leaves Spanning Tree Is APX-Hard for Cubic … NettetCycle k-cover. A cycle k-cover of a graph is a family of cycles which cover every edge of G exactly k times. It has been proven that every bridgeless graph has cycle k-cover for any integer even integer k≥4. For k=2, it is the well-known cycle double cover conjecture is an open problem in graph theory.
Nettet1.4 Flows and face colorings 12 1.5 Exercises 21 Basic Properties of Integer Flows 25 2.1 Product of flows 25 2.2 Group flows 27 2.3 Bounded orientations 28 2.4 Cycle covers 30 2.5 Orientable cycle double cover 33 2.6 Sum of flows 35 2.7 Flow polynomial 37 2.8 Minimal counterexamples 38 2.9 Exercises 45 Nowhere-Zero 4-Flows 49 3.1 Cycle … Nettet3. feb. 2024 · Request PDF On Feb 3, 2024, Siyan Liu and others published 5-Cycle Double Covers, 4-Flows, and Catlin Reduction Find, read and cite all the research …
NettetFocuses on classical problems in graph theory, including the 5-flow conjectures, the edge-3-colouring conjecture, the 3-flow conjecture and the cycle double cover conjecture. The text highlights the interrelationships between graph colouring, integer flow, cycle covers and graph minors. It also concentrates on graph theoretical methods and results.
Nettet2. jan. 1997 · The text highlights the interrelationships between graph colouring, integer flow, cycle covers and graph minors. It also concentrates on graph theoretical methods and results. Product details Format Hardback 400 pages Dimensions 216 x 279 x 19.81mm 703g Publication date 02 Jan 1997 Publisher Taylor & Francis Inc Imprint … highlights pugliaNettet1. jan. 1992 · Integer flows and cycle covers. Mathematics of computing. Discrete mathematics. Combinatorics. Graph theory. Network flows. Theory of computation. Design and analysis of algorithms. Graph algorithms analysis. Network flows. Comments. Login options. Check if you have access ... highlights puzzle club paymentNettet1. apr. 2024 · Integer 4-Flows and Cycle Covers Article Dec 2016 Genghua Fan View Show abstract Fulkerson-covers of hypohamiltonian graphs Article May 2015 … small power saw for craftsNettet28. jul. 2009 · The concept of flow-pair covering, introduced in many publications, has been used as one of the major techniques in the studies of integer flows and cycle … highlights puzzle buzz booksNettet2. jan. 1997 · The text highlights the interrelationships between graph colouring, integer flow, cycle covers and graph minors. It also concentrates on graph theoretical … highlights puzzle club scamsmall power saws ebayNettet1. jan. 1992 · Integer flows and cycle covers Mathematics of computing Discrete mathematics Combinatorics Graph theory Network flows Theory of computation … small power sanding tools