作者: 遣返回國 時(shí)間: 2025-3-21 23:44
Hamiltonian Extension,can be extended to produce a round trip on the dodecahedron that visits each vertex exactly once. This led to concepts for Hamiltonian graphs . dealing with (1) for any ordered list of . vertices in ., there exists a Hamiltonian cycle in . encountering these . vertices (not necessarily consecutively作者: 煩憂 時(shí)間: 2025-3-22 03:15 作者: trigger 時(shí)間: 2025-3-22 05:02 作者: octogenarian 時(shí)間: 2025-3-22 09:13
Efficient Local Representations of Graphs, we can determine if two vertices are adjacent simply by examining the labels assigned to the pair of vertices (hence .). For some classes of graphs (such as planar graphs), one can devise local representations, but for others (such as bipartite graphs), this is not possible..We present a conjecture作者: GULF 時(shí)間: 2025-3-22 14:11 作者: GULF 時(shí)間: 2025-3-22 20:21 作者: Brain-Imaging 時(shí)間: 2025-3-22 22:34
What Do Trees and Hypercubes Have in Common?, A closer inspection reveals an interesting common feature. Trees and hypercubes can be constructed using a similar sort of expansion procedure. Now, we can introduce a class of graphs that forms a common generalization of trees and hypercubes: it consists of all those graphs that can be constructed作者: Filibuster 時(shí)間: 2025-3-23 01:33
Two Chromatic Conjectures: One for Vertices and One for Edges,lour puzzle has eluded proof for more than four decades, despite the attack by a few of this era’s more powerful combinatorial minds. Regarding edges, the list-colouring conjecture asserts, loosely, that list colouring is no more difficult than ordinary edge colouring. Probably first proposed by Viz作者: lethargy 時(shí)間: 2025-3-23 06:37 作者: 衰弱的心 時(shí)間: 2025-3-23 12:25
Circuit Double Covers of Graphs,raph theorists as one of the major open problems in the field. The CDC conjecture, Tutte’s 5-flow conjecture, and the Berge-Fulkerson conjecture are three major snark family conjectures since they are all trivial for 3-edge-colorable cubic graphs and remain widely open for snarks. This chapter is a 作者: Nostalgia 時(shí)間: 2025-3-23 14:20 作者: 劇毒 時(shí)間: 2025-3-23 21:52 作者: DOSE 時(shí)間: 2025-3-24 02:04 作者: 反省 時(shí)間: 2025-3-24 05:12 作者: 不愿 時(shí)間: 2025-3-24 07:00 作者: 大猩猩 時(shí)間: 2025-3-24 13:01
https://doi.org/10.1007/978-1-349-12564-7 The most studied property is that of inducing an empty graph–a graph without any edges. Changing the property slightly creates interesting variations. In this paper I will discuss a few of my favorite coloring problems and variations. This discussion is not meant to be comprehensive. The field is s作者: 斜 時(shí)間: 2025-3-24 15:28
https://doi.org/10.1007/978-1-349-13431-1g (1)?the 1963 Vizing’s Conjecture about the domination number of the Cartesian product of two graphs [47], (2) the 1966 Hedetniemi Conjecture about the chromatic number of the categorical product of two graphs [28], (3) the 1976 Tree Packing Conjecture of Gyárfás and Lehel [23], (4) the 1981 Path P作者: Little 時(shí)間: 2025-3-24 22:52
https://doi.org/10.1007/978-3-642-34249-3 A closer inspection reveals an interesting common feature. Trees and hypercubes can be constructed using a similar sort of expansion procedure. Now, we can introduce a class of graphs that forms a common generalization of trees and hypercubes: it consists of all those graphs that can be constructed作者: Obsequious 時(shí)間: 2025-3-25 02:22 作者: ACE-inhibitor 時(shí)間: 2025-3-25 06:51 作者: 原始 時(shí)間: 2025-3-25 08:45 作者: abnegate 時(shí)間: 2025-3-25 12:59
https://doi.org/10.1007/978-1-349-07323-8We consider some of the most important conjectures in the study of the game of Cops and Robbers and the cop number of a graph. The conjectures touch on diverse areas such as algorithmic, topological, and structural graph theory.作者: obstinate 時(shí)間: 2025-3-25 19:14 作者: STYX 時(shí)間: 2025-3-25 23:41
Minerals as Advanced Materials IWe present a conjecture and eight open questions in areas of coloring graphs on the plane, on nonplanar surfaces, and on multiple planes. These unsolved problems relate to classical graph coloring and to list coloring for general embedded graphs and also for planar great-circle graphs and for locally planar graphs.作者: Cervical-Spine 時(shí)間: 2025-3-26 02:18
Minerals as Advanced Materials IIIn this chapter, we explore the history and the status of the Zarankiewicz crossing number conjecture and the Hill crossing number conjecture, on drawing complete bipartite and complete graphs in the plane with a minimum number of edge crossings. We discuss analogous problems on other surfaces and in different models of drawing.作者: Microgram 時(shí)間: 2025-3-26 07:33
https://doi.org/10.1007/978-1-4684-6638-6For a graph . of order . and a parameter ?(.), if ?(.) ≤ .. for some rational number ., where 0 < . < 1, then we refer to this upper bound on ?(.) as an .-bound on ?(.). In this chapter, we present over twenty .-bound conjectures on domination type parameters.作者: Galactogogue 時(shí)間: 2025-3-26 09:05
Conjectures on Cops and Robbers,We consider some of the most important conjectures in the study of the game of Cops and Robbers and the cop number of a graph. The conjectures touch on diverse areas such as algorithmic, topological, and structural graph theory.作者: Missile 時(shí)間: 2025-3-26 13:00
,Chvátal’s ,,-Tough Conjecture,In 1973, Chvátal introduced the concept of “tough graphs” and conjectured that graphs with sufficiently high toughness are hamiltonian. Here we look at some personal perspectives of this conjecture, both those of Chvátal and the author. Furthermore, we present the history of the conjecture and its current status.作者: dainty 時(shí)間: 2025-3-26 19:18 作者: ASSAY 時(shí)間: 2025-3-26 23:37 作者: 刺穿 時(shí)間: 2025-3-27 03:08
My Favorite Domination Conjectures in Graph Theory Are Bounded,For a graph . of order . and a parameter ?(.), if ?(.) ≤ .. for some rational number ., where 0 < . < 1, then we refer to this upper bound on ?(.) as an .-bound on ?(.). In this chapter, we present over twenty .-bound conjectures on domination type parameters.作者: Infinitesimal 時(shí)間: 2025-3-27 08:51
Graph Theory978-3-319-31940-7Series ISSN 0941-3502 Series E-ISSN 2197-8506 作者: 過多 時(shí)間: 2025-3-27 10:10
Circuit Double Covers of Graphs,hree major snark family conjectures since they are all trivial for 3-edge-colorable cubic graphs and remain widely open for snarks. This chapter is a brief survey of the progress on this famous open problem.作者: 滔滔不絕的人 時(shí)間: 2025-3-27 15:52
https://doi.org/10.1007/978-1-349-07326-9 a union of two triangle-free graphs. Although several problems discussed in this paper are concerned with concrete cases and some involve significant computational approaches, there are interesting and important theoretical questions behind each of them.作者: 碎石頭 時(shí)間: 2025-3-27 18:33 作者: limber 時(shí)間: 2025-3-28 00:32
https://doi.org/10.1007/978-3-7091-9795-0rees, subgraphs in decompositions all of which are non-isomorphic and subgraphs in an edge-colored graph, all of whose edges are colored differently. It is concepts such as these that are discussed in this chapter, together with related conjectures and open questions.作者: 伙伴 時(shí)間: 2025-3-28 03:27 作者: 螢火蟲 時(shí)間: 2025-3-28 06:28 作者: Hemiparesis 時(shí)間: 2025-3-28 13:21 作者: fender 時(shí)間: 2025-3-28 17:06 作者: 出血 時(shí)間: 2025-3-28 21:59
Highly Irregular,rees, subgraphs in decompositions all of which are non-isomorphic and subgraphs in an edge-colored graph, all of whose edges are colored differently. It is concepts such as these that are discussed in this chapter, together with related conjectures and open questions.作者: Evocative 時(shí)間: 2025-3-29 02:46
Efficient Local Representations of Graphs, due to Muller [.] and to Kannan, Naor, and Rudich [.] that distinguishes those hereditary classes of graphs (closed under induced subgraphs) for which an efficient local representation is feasible from those for which it is not.作者: 重力 時(shí)間: 2025-3-29 05:27
Some of My Favorite Coloring Problems for Graphs and Digraphs,o massive that attempts to catalog all important developments were abandoned many years ago. So I will restrict this to a very small set of problems that reflect my personal interests and perhaps nothing more.作者: foreign 時(shí)間: 2025-3-29 10:34 作者: 工作 時(shí)間: 2025-3-29 14:33 作者: 乏味 時(shí)間: 2025-3-29 16:01 作者: outrage 時(shí)間: 2025-3-29 21:07 作者: 橫條 時(shí)間: 2025-3-30 00:58 作者: Exhilarate 時(shí)間: 2025-3-30 06:35 作者: 關(guān)心 時(shí)間: 2025-3-30 12:04 作者: 高原 時(shí)間: 2025-3-30 15:54 作者: 夾克怕包裹 時(shí)間: 2025-3-30 18:50 作者: 腐爛 時(shí)間: 2025-3-30 23:40 作者: Psa617 時(shí)間: 2025-3-31 02:40 作者: 過份 時(shí)間: 2025-3-31 05:12
Front Matternetwork for convex optimization problems and experimental design..The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical and Engineering subjects and especially to graduate students who search for the latest information..978-1-4939-4313-5978-1-4939-1124-0作者: MOCK 時(shí)間: 2025-3-31 11:28 作者: thwart 時(shí)間: 2025-3-31 17:11 作者: 江湖郎中 時(shí)間: 2025-3-31 19:39
The Art of Teaching UndergraduatesDie Pathologie oder Lehre vom Leben unter anormalen Bedingungen zerf?llt in:
